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Finding the Third Proportional to 336,543,140 and 516,971,468

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Solution

The third proportional to 336,543,140 and 516,971,468 is: 794,131,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,543,140 : 516,971,468 = 516,971,468 : x
  2. Step 2: Convert to fraction form
    336,543,140/516,971,468 = 516,971,468/x
  3. Step 3: Cross multiply
    336,543,140x = 516,971,468 × 516,971,468
  4. Step 4: Simplify right side
    336,543,140x = 267,259,498,726,075,008
  5. Step 5: Solve for x
    x = 267,259,498,726,075,008/336,543,140
  6. Step 6: Final answer
    x = 794,131,470.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.