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Finding the Third Proportional to 31,457,292 and 42,500,691

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Solution

The third proportional to 31,457,292 and 42,500,691 is: 57,420,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457,292 : 42,500,691 = 42,500,691 : x
  2. Step 2: Convert to fraction form
    31,457,292/42,500,691 = 42,500,691/x
  3. Step 3: Cross multiply
    31,457,292x = 42,500,691 × 42,500,691
  4. Step 4: Simplify right side
    31,457,292x = 1,806,308,735,477,481
  5. Step 5: Solve for x
    x = 1,806,308,735,477,481/31,457,292
  6. Step 6: Final answer
    x = 57,420,986.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.