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Finding the Third Proportional to 9,534,996 and 20,695,458

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Solution

The third proportional to 9,534,996 and 20,695,458 is: 44,918,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534,996 : 20,695,458 = 20,695,458 : x
  2. Step 2: Convert to fraction form
    9,534,996/20,695,458 = 20,695,458/x
  3. Step 3: Cross multiply
    9,534,996x = 20,695,458 × 20,695,458
  4. Step 4: Simplify right side
    9,534,996x = 428,301,981,829,764
  5. Step 5: Solve for x
    x = 428,301,981,829,764/9,534,996
  6. Step 6: Final answer
    x = 44,918,947.20

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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.