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Finding the Third Proportional to 951,651,838 and 1,454,830,470

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Solution

The third proportional to 951,651,838 and 1,454,830,470 is: 2,224,060,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,651,838 : 1,454,830,470 = 1,454,830,470 : x
  2. Step 2: Convert to fraction form
    951,651,838/1,454,830,470 = 1,454,830,470/x
  3. Step 3: Cross multiply
    951,651,838x = 1,454,830,470 × 1,454,830,470
  4. Step 4: Simplify right side
    951,651,838x = 2,116,531,696,440,420,864
  5. Step 5: Solve for x
    x = 2,116,531,696,440,420,864/951,651,838
  6. Step 6: Final answer
    x = 2,224,060,955.83

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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.