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Finding the Third Proportional to 266,156,764 and 579,180,432

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Solution

The third proportional to 266,156,764 and 579,180,432 is: 1,260,347,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,156,764 : 579,180,432 = 579,180,432 : x
  2. Step 2: Convert to fraction form
    266,156,764/579,180,432 = 579,180,432/x
  3. Step 3: Cross multiply
    266,156,764x = 579,180,432 × 579,180,432
  4. Step 4: Simplify right side
    266,156,764x = 335,449,972,811,706,624
  5. Step 5: Solve for x
    x = 335,449,972,811,706,624/266,156,764
  6. Step 6: Final answer
    x = 1,260,347,352.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.