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Finding the Third Proportional to 10,352,125 and 22,429,509

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Solution

The third proportional to 10,352,125 and 22,429,509 is: 48,597,063.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352,125 : 22,429,509 = 22,429,509 : x
  2. Step 2: Convert to fraction form
    10,352,125/22,429,509 = 22,429,509/x
  3. Step 3: Cross multiply
    10,352,125x = 22,429,509 × 22,429,509
  4. Step 4: Simplify right side
    10,352,125x = 503,082,873,981,081
  5. Step 5: Solve for x
    x = 503,082,873,981,081/10,352,125
  6. Step 6: Final answer
    x = 48,597,063.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.