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Finding the Third Proportional to 121,706,768 and 267,301,408

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Solution

The third proportional to 121,706,768 and 267,301,408 is: 587,067,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,706,768 : 267,301,408 = 267,301,408 : x
  2. Step 2: Convert to fraction form
    121,706,768/267,301,408 = 267,301,408/x
  3. Step 3: Cross multiply
    121,706,768x = 267,301,408 × 267,301,408
  4. Step 4: Simplify right side
    121,706,768x = 71,450,042,718,782,464
  5. Step 5: Solve for x
    x = 71,450,042,718,782,464/121,706,768
  6. Step 6: Final answer
    x = 587,067,127.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.