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Finding the Third Proportional to 268,876,632 and 547,620,048

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Solution

The third proportional to 268,876,632 and 547,620,048 is: 1,115,335,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,876,632 : 547,620,048 = 547,620,048 : x
  2. Step 2: Convert to fraction form
    268,876,632/547,620,048 = 547,620,048/x
  3. Step 3: Cross multiply
    268,876,632x = 547,620,048 × 547,620,048
  4. Step 4: Simplify right side
    268,876,632x = 299,887,716,971,522,304
  5. Step 5: Solve for x
    x = 299,887,716,971,522,304/268,876,632
  6. Step 6: Final answer
    x = 1,115,335,738.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.