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Finding the Third Proportional to 10,281,917 and 22,581,614

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Solution

The third proportional to 10,281,917 and 22,581,614 is: 49,594,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281,917 : 22,581,614 = 22,581,614 : x
  2. Step 2: Convert to fraction form
    10,281,917/22,581,614 = 22,581,614/x
  3. Step 3: Cross multiply
    10,281,917x = 22,581,614 × 22,581,614
  4. Step 4: Simplify right side
    10,281,917x = 509,929,290,844,996
  5. Step 5: Solve for x
    x = 509,929,290,844,996/10,281,917
  6. Step 6: Final answer
    x = 49,594,768.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.