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Finding the Third Proportional to 11,413,676 and 25,288,294

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Solution

The third proportional to 11,413,676 and 25,288,294 is: 56,029,084.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413,676 : 25,288,294 = 25,288,294 : x
  2. Step 2: Convert to fraction form
    11,413,676/25,288,294 = 25,288,294/x
  3. Step 3: Cross multiply
    11,413,676x = 25,288,294 × 25,288,294
  4. Step 4: Simplify right side
    11,413,676x = 639,497,813,430,436
  5. Step 5: Solve for x
    x = 639,497,813,430,436/11,413,676
  6. Step 6: Final answer
    x = 56,029,084.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.