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Finding the Third Proportional to 31,383,688 and 67,721,644

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Solution

The third proportional to 31,383,688 and 67,721,644 is: 146,133,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383,688 : 67,721,644 = 67,721,644 : x
  2. Step 2: Convert to fraction form
    31,383,688/67,721,644 = 67,721,644/x
  3. Step 3: Cross multiply
    31,383,688x = 67,721,644 × 67,721,644
  4. Step 4: Simplify right side
    31,383,688x = 4,586,221,066,062,736
  5. Step 5: Solve for x
    x = 4,586,221,066,062,736/31,383,688
  6. Step 6: Final answer
    x = 146,133,910.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.