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Finding the Third Proportional to 10,414,107 and 15,583,443

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Solution

The third proportional to 10,414,107 and 15,583,443 is: 23,318,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414,107 : 15,583,443 = 15,583,443 : x
  2. Step 2: Convert to fraction form
    10,414,107/15,583,443 = 15,583,443/x
  3. Step 3: Cross multiply
    10,414,107x = 15,583,443 × 15,583,443
  4. Step 4: Simplify right side
    10,414,107x = 242,843,695,734,249
  5. Step 5: Solve for x
    x = 242,843,695,734,249/10,414,107
  6. Step 6: Final answer
    x = 23,318,724.85

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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.