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Finding the Third Proportional to 330,957,422 and 533,260,569

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Solution

The third proportional to 330,957,422 and 533,260,569 is: 859,224,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,957,422 : 533,260,569 = 533,260,569 : x
  2. Step 2: Convert to fraction form
    330,957,422/533,260,569 = 533,260,569/x
  3. Step 3: Cross multiply
    330,957,422x = 533,260,569 × 533,260,569
  4. Step 4: Simplify right side
    330,957,422x = 284,366,834,450,203,776
  5. Step 5: Solve for x
    x = 284,366,834,450,203,776/330,957,422
  6. Step 6: Final answer
    x = 859,224,829.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.