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Finding the Third Proportional to 5,861,125,667,011.90 and 8,867,070,607,480.60

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Solution

The third proportional to 5,861,125,667,011.90 and 8,867,070,607,480.60 is: 13,414,648,588,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861,125,667,011.90 : 8,867,070,607,480.60 = 8,867,070,607,480.60 : x
  2. Step 2: Convert to fraction form
    5,861,125,667,011.90/8,867,070,607,480.60 = 8,867,070,607,480.60/x
  3. Step 3: Cross multiply
    5,861,125,667,011.90x = 8,867,070,607,480.60 × 8,867,070,607,480.60
  4. Step 4: Simplify right side
    5,861,125,667,011.90x = 78,624,941,158,046,361,200,885,760
  5. Step 5: Solve for x
    x = 78,624,941,158,046,361,200,885,760/5,861,125,667,011.90
  6. Step 6: Final answer
    x = 13,414,648,588,848.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.