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Finding the Third Proportional to 711,510,600 and 1,541,785,344

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Solution

The third proportional to 711,510,600 and 1,541,785,344 is: 3,340,922,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,510,600 : 1,541,785,344 = 1,541,785,344 : x
  2. Step 2: Convert to fraction form
    711,510,600/1,541,785,344 = 1,541,785,344/x
  3. Step 3: Cross multiply
    711,510,600x = 1,541,785,344 × 1,541,785,344
  4. Step 4: Simplify right side
    711,510,600x = 2,377,102,046,973,198,336
  5. Step 5: Solve for x
    x = 2,377,102,046,973,198,336/711,510,600
  6. Step 6: Final answer
    x = 3,340,922,885.72

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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.