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Finding the Third Proportional to 411,060,976 and 970,030,344

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Solution

The third proportional to 411,060,976 and 970,030,344 is: 2,289,098,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,060,976 : 970,030,344 = 970,030,344 : x
  2. Step 2: Convert to fraction form
    411,060,976/970,030,344 = 970,030,344/x
  3. Step 3: Cross multiply
    411,060,976x = 970,030,344 × 970,030,344
  4. Step 4: Simplify right side
    411,060,976x = 940,958,868,280,758,272
  5. Step 5: Solve for x
    x = 940,958,868,280,758,272/411,060,976
  6. Step 6: Final answer
    x = 2,289,098,024.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.