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Finding the Third Proportional to 11,145,724 and 15,695,634

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Solution

The third proportional to 11,145,724 and 15,695,634 is: 22,102,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145,724 : 15,695,634 = 15,695,634 : x
  2. Step 2: Convert to fraction form
    11,145,724/15,695,634 = 15,695,634/x
  3. Step 3: Cross multiply
    11,145,724x = 15,695,634 × 15,695,634
  4. Step 4: Simplify right side
    11,145,724x = 246,352,926,661,956
  5. Step 5: Solve for x
    x = 246,352,926,661,956/11,145,724
  6. Step 6: Final answer
    x = 22,102,909.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.