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Finding the Third Proportional to 11,069,882 and 24,021,422

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Solution

The third proportional to 11,069,882 and 24,021,422 is: 52,126,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,069,882 : 24,021,422 = 24,021,422 : x
  2. Step 2: Convert to fraction form
    11,069,882/24,021,422 = 24,021,422/x
  3. Step 3: Cross multiply
    11,069,882x = 24,021,422 × 24,021,422
  4. Step 4: Simplify right side
    11,069,882x = 577,028,714,902,084
  5. Step 5: Solve for x
    x = 577,028,714,902,084/11,069,882
  6. Step 6: Final answer
    x = 52,126,004.13

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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.