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Finding the Third Proportional to 416,536,323.75 and 867,549,107.81

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Solution

The third proportional to 416,536,323.75 and 867,549,107.81 is: 1,806,904,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,536,323.75 : 867,549,107.81 = 867,549,107.81 : x
  2. Step 2: Convert to fraction form
    416,536,323.75/867,549,107.81 = 867,549,107.81/x
  3. Step 3: Cross multiply
    416,536,323.75x = 867,549,107.81 × 867,549,107.81
  4. Step 4: Simplify right side
    416,536,323.75x = 752,641,454,466,264,704
  5. Step 5: Solve for x
    x = 752,641,454,466,264,704/416,536,323.75
  6. Step 6: Final answer
    x = 1,806,904,732.08

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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.