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Finding the Third Proportional to 31,383,696 and 67,721,664

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Solution

The third proportional to 31,383,696 and 67,721,664 is: 146,133,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383,696 : 67,721,664 = 67,721,664 : x
  2. Step 2: Convert to fraction form
    31,383,696/67,721,664 = 67,721,664/x
  3. Step 3: Cross multiply
    31,383,696x = 67,721,664 × 67,721,664
  4. Step 4: Simplify right side
    31,383,696x = 4,586,223,774,928,896
  5. Step 5: Solve for x
    x = 4,586,223,774,928,896/31,383,696
  6. Step 6: Final answer
    x = 146,133,959.97

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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.