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Finding the Third Proportional to 10,233,539 and 22,389,870

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Solution

The third proportional to 10,233,539 and 22,389,870 is: 48,986,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233,539 : 22,389,870 = 22,389,870 : x
  2. Step 2: Convert to fraction form
    10,233,539/22,389,870 = 22,389,870/x
  3. Step 3: Cross multiply
    10,233,539x = 22,389,870 × 22,389,870
  4. Step 4: Simplify right side
    10,233,539x = 501,306,278,616,900
  5. Step 5: Solve for x
    x = 501,306,278,616,900/10,233,539
  6. Step 6: Final answer
    x = 48,986,599.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.