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Finding the Third Proportional to 273,936,270 and 586,659,552

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Solution

The third proportional to 273,936,270 and 586,659,552 is: 1,256,385,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,936,270 : 586,659,552 = 586,659,552 : x
  2. Step 2: Convert to fraction form
    273,936,270/586,659,552 = 586,659,552/x
  3. Step 3: Cross multiply
    273,936,270x = 586,659,552 × 586,659,552
  4. Step 4: Simplify right side
    273,936,270x = 344,169,429,952,840,704
  5. Step 5: Solve for x
    x = 344,169,429,952,840,704/273,936,270
  6. Step 6: Final answer
    x = 1,256,385,034.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.