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Finding the Third Proportional to 9,938,229.19 and 21,472,144.31

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Solution

The third proportional to 9,938,229.19 and 21,472,144.31 is: 46,391,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938,229.19 : 21,472,144.31 = 21,472,144.31 : x
  2. Step 2: Convert to fraction form
    9,938,229.19/21,472,144.31 = 21,472,144.31/x
  3. Step 3: Cross multiply
    9,938,229.19x = 21,472,144.31 × 21,472,144.31
  4. Step 4: Simplify right side
    9,938,229.19x = 461,052,981,376,826.12
  5. Step 5: Solve for x
    x = 461,052,981,376,826.12/9,938,229.19
  6. Step 6: Final answer
    x = 46,391,864.45

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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.