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Finding the Third Proportional to 5,539,698 and 8,287,413

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Solution

The third proportional to 5,539,698 and 8,287,413 is: 12,398,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539,698 : 8,287,413 = 8,287,413 : x
  2. Step 2: Convert to fraction form
    5,539,698/8,287,413 = 8,287,413/x
  3. Step 3: Cross multiply
    5,539,698x = 8,287,413 × 8,287,413
  4. Step 4: Simplify right side
    5,539,698x = 68,681,214,232,569
  5. Step 5: Solve for x
    x = 68,681,214,232,569/5,539,698
  6. Step 6: Final answer
    x = 12,398,006.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.