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Finding the Third Proportional to 416,536,326 and 867,549,114

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Solution

The third proportional to 416,536,326 and 867,549,114 is: 1,806,904,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,536,326 : 867,549,114 = 867,549,114 : x
  2. Step 2: Convert to fraction form
    416,536,326/867,549,114 = 867,549,114/x
  3. Step 3: Cross multiply
    416,536,326x = 867,549,114 × 867,549,114
  4. Step 4: Simplify right side
    416,536,326x = 752,641,465,202,184,960
  5. Step 5: Solve for x
    x = 752,641,465,202,184,960/416,536,326
  6. Step 6: Final answer
    x = 1,806,904,748.09

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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.