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Finding the Third Proportional to 31,835,656 and 68,213,792

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Solution

The third proportional to 31,835,656 and 68,213,792 is: 146,160,689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,835,656 : 68,213,792 = 68,213,792 : x
  2. Step 2: Convert to fraction form
    31,835,656/68,213,792 = 68,213,792/x
  3. Step 3: Cross multiply
    31,835,656x = 68,213,792 × 68,213,792
  4. Step 4: Simplify right side
    31,835,656x = 4,653,121,419,019,264
  5. Step 5: Solve for x
    x = 4,653,121,419,019,264/31,835,656
  6. Step 6: Final answer
    x = 146,160,689.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.