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Finding the Third Proportional to 11,419,218 and 16,813,413

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Solution

The third proportional to 11,419,218 and 16,813,413 is: 24,755,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419,218 : 16,813,413 = 16,813,413 : x
  2. Step 2: Convert to fraction form
    11,419,218/16,813,413 = 16,813,413/x
  3. Step 3: Cross multiply
    11,419,218x = 16,813,413 × 16,813,413
  4. Step 4: Simplify right side
    11,419,218x = 282,690,856,708,569
  5. Step 5: Solve for x
    x = 282,690,856,708,569/11,419,218
  6. Step 6: Final answer
    x = 24,755,710.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.