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Finding the Third Proportional to 870,701,908 and 1,894,452,920

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Solution

The third proportional to 870,701,908 and 1,894,452,920 is: 4,121,906,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,701,908 : 1,894,452,920 = 1,894,452,920 : x
  2. Step 2: Convert to fraction form
    870,701,908/1,894,452,920 = 1,894,452,920/x
  3. Step 3: Cross multiply
    870,701,908x = 1,894,452,920 × 1,894,452,920
  4. Step 4: Simplify right side
    870,701,908x = 3,588,951,866,096,526,336
  5. Step 5: Solve for x
    x = 3,588,951,866,096,526,336/870,701,908
  6. Step 6: Final answer
    x = 4,121,906,513.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.