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Finding the Third Proportional to 336,543,136 and 516,971,461

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Solution

The third proportional to 336,543,136 and 516,971,461 is: 794,131,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,543,136 : 516,971,461 = 516,971,461 : x
  2. Step 2: Convert to fraction form
    336,543,136/516,971,461 = 516,971,461/x
  3. Step 3: Cross multiply
    336,543,136x = 516,971,461 × 516,971,461
  4. Step 4: Simplify right side
    336,543,136x = 267,259,491,488,474,528
  5. Step 5: Solve for x
    x = 267,259,491,488,474,528/336,543,136
  6. Step 6: Final answer
    x = 794,131,458.64

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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.