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Finding the Third Proportional to 2,400,930,274 and 5,202,648,772

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Solution

The third proportional to 2,400,930,274 and 5,202,648,772 is: 11,273,777,726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400,930,274 : 5,202,648,772 = 5,202,648,772 : x
  2. Step 2: Convert to fraction form
    2,400,930,274/5,202,648,772 = 5,202,648,772/x
  3. Step 3: Cross multiply
    2,400,930,274x = 5,202,648,772 × 5,202,648,772
  4. Step 4: Simplify right side
    2,400,930,274x = 27,067,554,244,793,106,432
  5. Step 5: Solve for x
    x = 27,067,554,244,793,106,432/2,400,930,274
  6. Step 6: Final answer
    x = 11,273,777,726.04

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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.