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Finding the Third Proportional to 5,861,125,667,049 and 8,867,070,607,534

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Solution

The third proportional to 5,861,125,667,049 and 8,867,070,607,534 is: 13,414,648,588,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861,125,667,049 : 8,867,070,607,534 = 8,867,070,607,534 : x
  2. Step 2: Convert to fraction form
    5,861,125,667,049/8,867,070,607,534 = 8,867,070,607,534/x
  3. Step 3: Cross multiply
    5,861,125,667,049x = 8,867,070,607,534 × 8,867,070,607,534
  4. Step 4: Simplify right side
    5,861,125,667,049x = 78,624,941,158,993,384,309,784,576
  5. Step 5: Solve for x
    x = 78,624,941,158,993,384,309,784,576/5,861,125,667,049
  6. Step 6: Final answer
    x = 13,414,648,588,925.41

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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.