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Finding the Third Proportional to 10,239,429 and 21,998,422

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Solution

The third proportional to 10,239,429 and 21,998,422 is: 47,261,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239,429 : 21,998,422 = 21,998,422 : x
  2. Step 2: Convert to fraction form
    10,239,429/21,998,422 = 21,998,422/x
  3. Step 3: Cross multiply
    10,239,429x = 21,998,422 × 21,998,422
  4. Step 4: Simplify right side
    10,239,429x = 483,930,570,490,084
  5. Step 5: Solve for x
    x = 483,930,570,490,084/10,239,429
  6. Step 6: Final answer
    x = 47,261,480.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.