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Finding the Third Proportional to 5,085,414 and 7,675,413

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Solution

The third proportional to 5,085,414 and 7,675,413 is: 11,584,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085,414 : 7,675,413 = 7,675,413 : x
  2. Step 2: Convert to fraction form
    5,085,414/7,675,413 = 7,675,413/x
  3. Step 3: Cross multiply
    5,085,414x = 7,675,413 × 7,675,413
  4. Step 4: Simplify right side
    5,085,414x = 58,911,964,720,569
  5. Step 5: Solve for x
    x = 58,911,964,720,569/5,085,414
  6. Step 6: Final answer
    x = 11,584,497.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.