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Finding the Third Proportional to 267,921,498 and 576,895,584

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Solution

The third proportional to 267,921,498 and 576,895,584 is: 1,242,186,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,921,498 : 576,895,584 = 576,895,584 : x
  2. Step 2: Convert to fraction form
    267,921,498/576,895,584 = 576,895,584/x
  3. Step 3: Cross multiply
    267,921,498x = 576,895,584 × 576,895,584
  4. Step 4: Simplify right side
    267,921,498x = 332,808,514,838,701,056
  5. Step 5: Solve for x
    x = 332,808,514,838,701,056/267,921,498
  6. Step 6: Final answer
    x = 1,242,186,675.29

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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.