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Finding the Third Proportional to 671,863,059 and 960,765,327

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Solution

The third proportional to 671,863,059 and 960,765,327 is: 1,373,896,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,863,059 : 960,765,327 = 960,765,327 : x
  2. Step 2: Convert to fraction form
    671,863,059/960,765,327 = 960,765,327/x
  3. Step 3: Cross multiply
    671,863,059x = 960,765,327 × 960,765,327
  4. Step 4: Simplify right side
    671,863,059x = 923,070,013,565,416,960
  5. Step 5: Solve for x
    x = 923,070,013,565,416,960/671,863,059
  6. Step 6: Final answer
    x = 1,373,896,065.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.