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Finding the Third Proportional to 10,028,624 and 15,278,016

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Solution

The third proportional to 10,028,624 and 15,278,016 is: 23,275,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028,624 : 15,278,016 = 15,278,016 : x
  2. Step 2: Convert to fraction form
    10,028,624/15,278,016 = 15,278,016/x
  3. Step 3: Cross multiply
    10,028,624x = 15,278,016 × 15,278,016
  4. Step 4: Simplify right side
    10,028,624x = 233,417,772,896,256
  5. Step 5: Solve for x
    x = 233,417,772,896,256/10,028,624
  6. Step 6: Final answer
    x = 23,275,154.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.