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Finding the Third Proportional to 951,651,834 and 1,454,830,464

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Solution

The third proportional to 951,651,834 and 1,454,830,464 is: 2,224,060,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,651,834 : 1,454,830,464 = 1,454,830,464 : x
  2. Step 2: Convert to fraction form
    951,651,834/1,454,830,464 = 1,454,830,464/x
  3. Step 3: Cross multiply
    951,651,834x = 1,454,830,464 × 1,454,830,464
  4. Step 4: Simplify right side
    951,651,834x = 2,116,531,678,982,455,296
  5. Step 5: Solve for x
    x = 2,116,531,678,982,455,296/951,651,834
  6. Step 6: Final answer
    x = 2,224,060,946.83

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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.