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Finding the Third Proportional to 416,536,215.75 and 867,548,886.75

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Solution

The third proportional to 416,536,215.75 and 867,548,886.75 is: 1,806,904,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,536,215.75 : 867,548,886.75 = 867,548,886.75 : x
  2. Step 2: Convert to fraction form
    416,536,215.75/867,548,886.75 = 867,548,886.75/x
  3. Step 3: Cross multiply
    416,536,215.75x = 867,548,886.75 × 867,548,886.75
  4. Step 4: Simplify right side
    416,536,215.75x = 752,641,070,901,164,288
  5. Step 5: Solve for x
    x = 752,641,070,901,164,288/416,536,215.75
  6. Step 6: Final answer
    x = 1,806,904,279.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.