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Finding the Third Proportional to 870,713,691.50 and 1,894,474,189.50

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Solution

The third proportional to 870,713,691.50 and 1,894,474,189.50 is: 4,121,943,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,713,691.50 : 1,894,474,189.50 = 1,894,474,189.50 : x
  2. Step 2: Convert to fraction form
    870,713,691.50/1,894,474,189.50 = 1,894,474,189.50/x
  3. Step 3: Cross multiply
    870,713,691.50x = 1,894,474,189.50 × 1,894,474,189.50
  4. Step 4: Simplify right side
    870,713,691.50x = 3,589,032,454,681,681,920
  5. Step 5: Solve for x
    x = 3,589,032,454,681,681,920/870,713,691.50
  6. Step 6: Final answer
    x = 4,121,943,285.97

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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.