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Finding the Third Proportional to 656,517,016 and 1,421,979,680

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Solution

The third proportional to 656,517,016 and 1,421,979,680 is: 3,079,929,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,517,016 : 1,421,979,680 = 1,421,979,680 : x
  2. Step 2: Convert to fraction form
    656,517,016/1,421,979,680 = 1,421,979,680/x
  3. Step 3: Cross multiply
    656,517,016x = 1,421,979,680 × 1,421,979,680
  4. Step 4: Simplify right side
    656,517,016x = 2,022,026,210,332,902,400
  5. Step 5: Solve for x
    x = 2,022,026,210,332,902,400/656,517,016
  6. Step 6: Final answer
    x = 3,079,929,630.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.