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Finding the Third Proportional to 301,286,965.29 and 652,851,839.88

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Solution

The third proportional to 301,286,965.29 and 652,851,839.88 is: 1,414,649,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,286,965.29 : 652,851,839.88 = 652,851,839.88 : x
  2. Step 2: Convert to fraction form
    301,286,965.29/652,851,839.88 = 652,851,839.88/x
  3. Step 3: Cross multiply
    301,286,965.29x = 652,851,839.88 × 652,851,839.88
  4. Step 4: Simplify right side
    301,286,965.29x = 426,215,524,838,357,120
  5. Step 5: Solve for x
    x = 426,215,524,838,357,120/301,286,965.29
  6. Step 6: Final answer
    x = 1,414,649,732.46

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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.