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Finding the Third Proportional to 31,516,734 and 69,012,180

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Solution

The third proportional to 31,516,734 and 69,012,180 is: 151,115,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516,734 : 69,012,180 = 69,012,180 : x
  2. Step 2: Convert to fraction form
    31,516,734/69,012,180 = 69,012,180/x
  3. Step 3: Cross multiply
    31,516,734x = 69,012,180 × 69,012,180
  4. Step 4: Simplify right side
    31,516,734x = 4,762,680,988,352,400
  5. Step 5: Solve for x
    x = 4,762,680,988,352,400/31,516,734
  6. Step 6: Final answer
    x = 151,115,943.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.