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Finding the Third Proportional to 441,747,432 and 961,064,340

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Solution

The third proportional to 441,747,432 and 961,064,340 is: 2,090,888,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,747,432 : 961,064,340 = 961,064,340 : x
  2. Step 2: Convert to fraction form
    441,747,432/961,064,340 = 961,064,340/x
  3. Step 3: Cross multiply
    441,747,432x = 961,064,340 × 961,064,340
  4. Step 4: Simplify right side
    441,747,432x = 923,644,665,619,635,584
  5. Step 5: Solve for x
    x = 923,644,665,619,635,584/441,747,432
  6. Step 6: Final answer
    x = 2,090,888,590.88

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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.