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Finding the Third Proportional to 22,026,439.50 and 47,241,442.50

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Solution

The third proportional to 22,026,439.50 and 47,241,442.50 is: 101,321,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,026,439.50 : 47,241,442.50 = 47,241,442.50 : x
  2. Step 2: Convert to fraction form
    22,026,439.50/47,241,442.50 = 47,241,442.50/x
  3. Step 3: Cross multiply
    22,026,439.50x = 47,241,442.50 × 47,241,442.50
  4. Step 4: Simplify right side
    22,026,439.50x = 2,231,753,889,480,806.25
  5. Step 5: Solve for x
    x = 2,231,753,889,480,806.25/22,026,439.50
  6. Step 6: Final answer
    x = 101,321,590.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.