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Finding the Third Proportional to 61,471,407.94 and 93,465,829.13

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Solution

The third proportional to 61,471,407.94 and 93,465,829.13 is: 142,112,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,471,407.94 : 93,465,829.13 = 93,465,829.13 : x
  2. Step 2: Convert to fraction form
    61,471,407.94/93,465,829.13 = 93,465,829.13/x
  3. Step 3: Cross multiply
    61,471,407.94x = 93,465,829.13 × 93,465,829.13
  4. Step 4: Simplify right side
    61,471,407.94x = 8,735,861,214,023,698
  5. Step 5: Solve for x
    x = 8,735,861,214,023,698/61,471,407.94
  6. Step 6: Final answer
    x = 142,112,593.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.