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Finding the Third Proportional to 951,651,836 and 1,454,830,467

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Solution

The third proportional to 951,651,836 and 1,454,830,467 is: 2,224,060,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,651,836 : 1,454,830,467 = 1,454,830,467 : x
  2. Step 2: Convert to fraction form
    951,651,836/1,454,830,467 = 1,454,830,467/x
  3. Step 3: Cross multiply
    951,651,836x = 1,454,830,467 × 1,454,830,467
  4. Step 4: Simplify right side
    951,651,836x = 2,116,531,687,711,438,080
  5. Step 5: Solve for x
    x = 2,116,531,687,711,438,080/951,651,836
  6. Step 6: Final answer
    x = 2,224,060,951.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.