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Finding the Third Proportional to 10,422,046.13 and 22,638,202.88

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Solution

The third proportional to 10,422,046.13 and 22,638,202.88 is: 49,173,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422,046.13 : 22,638,202.88 = 22,638,202.88 : x
  2. Step 2: Convert to fraction form
    10,422,046.13/22,638,202.88 = 22,638,202.88/x
  3. Step 3: Cross multiply
    10,422,046.13x = 22,638,202.88 × 22,638,202.88
  4. Step 4: Simplify right side
    10,422,046.13x = 512,488,229,409,658.25
  5. Step 5: Solve for x
    x = 512,488,229,409,658.25/10,422,046.13
  6. Step 6: Final answer
    x = 49,173,475.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.