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Finding the Third Proportional to 9,917,829 and 15,026,441.63

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Solution

The third proportional to 9,917,829 and 15,026,441.63 is: 22,766,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917,829 : 15,026,441.63 = 15,026,441.63 : x
  2. Step 2: Convert to fraction form
    9,917,829/15,026,441.63 = 15,026,441.63/x
  3. Step 3: Cross multiply
    9,917,829x = 15,026,441.63 × 15,026,441.63
  4. Step 4: Simplify right side
    9,917,829x = 225,793,947,909,532.62
  5. Step 5: Solve for x
    x = 225,793,947,909,532.62/9,917,829
  6. Step 6: Final answer
    x = 22,766,469.14

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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.