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Finding the Third Proportional to 416,536,209 and 867,548,877

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Solution

The third proportional to 416,536,209 and 867,548,877 is: 1,806,904,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,536,209 : 867,548,877 = 867,548,877 : x
  2. Step 2: Convert to fraction form
    416,536,209/867,548,877 = 867,548,877/x
  3. Step 3: Cross multiply
    416,536,209x = 867,548,877 × 867,548,877
  4. Step 4: Simplify right side
    416,536,209x = 752,641,053,983,961,088
  5. Step 5: Solve for x
    x = 752,641,053,983,961,088/416,536,209
  6. Step 6: Final answer
    x = 1,806,904,268.40

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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.