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Finding the Third Proportional to 10,987,641 and 16,163,920

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Solution

The third proportional to 10,987,641 and 16,163,920 is: 23,778,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987,641 : 16,163,920 = 16,163,920 : x
  2. Step 2: Convert to fraction form
    10,987,641/16,163,920 = 16,163,920/x
  3. Step 3: Cross multiply
    10,987,641x = 16,163,920 × 16,163,920
  4. Step 4: Simplify right side
    10,987,641x = 261,272,309,766,400
  5. Step 5: Solve for x
    x = 261,272,309,766,400/10,987,641
  6. Step 6: Final answer
    x = 23,778,744.66

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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.