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Finding the Third Proportional to 322,821,432 and 513,921,540

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Solution

The third proportional to 322,821,432 and 513,921,540 is: 818,146,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,821,432 : 513,921,540 = 513,921,540 : x
  2. Step 2: Convert to fraction form
    322,821,432/513,921,540 = 513,921,540/x
  3. Step 3: Cross multiply
    322,821,432x = 513,921,540 × 513,921,540
  4. Step 4: Simplify right side
    322,821,432x = 264,115,349,275,971,584
  5. Step 5: Solve for x
    x = 264,115,349,275,971,584/322,821,432
  6. Step 6: Final answer
    x = 818,146,885.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.