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Finding the Third Proportional to 5,861,125,666,967.70 and 8,867,070,607,415.70

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Solution

The third proportional to 5,861,125,666,967.70 and 8,867,070,607,415.70 is: 13,414,648,588,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861,125,666,967.70 : 8,867,070,607,415.70 = 8,867,070,607,415.70 : x
  2. Step 2: Convert to fraction form
    5,861,125,666,967.70/8,867,070,607,415.70 = 8,867,070,607,415.70/x
  3. Step 3: Cross multiply
    5,861,125,666,967.70x = 8,867,070,607,415.70 × 8,867,070,607,415.70
  4. Step 4: Simplify right side
    5,861,125,666,967.70x = 78,624,941,156,895,413,044,772,864
  5. Step 5: Solve for x
    x = 78,624,941,156,895,413,044,772,864/5,861,125,666,967.70
  6. Step 6: Final answer
    x = 13,414,648,588,753.54

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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.