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Finding the Third Proportional to 14,454,746 and 31,428,820

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Solution

The third proportional to 14,454,746 and 31,428,820 is: 68,335,391.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454,746 : 31,428,820 = 31,428,820 : x
  2. Step 2: Convert to fraction form
    14,454,746/31,428,820 = 31,428,820/x
  3. Step 3: Cross multiply
    14,454,746x = 31,428,820 × 31,428,820
  4. Step 4: Simplify right side
    14,454,746x = 987,770,726,592,400
  5. Step 5: Solve for x
    x = 987,770,726,592,400/14,454,746
  6. Step 6: Final answer
    x = 68,335,391.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.