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Finding the Third Proportional to 247,304,981,709 and 535,675,246,074

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Solution

The third proportional to 247,304,981,709 and 535,675,246,074 is: 1,160,299,995,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,304,981,709 : 535,675,246,074 = 535,675,246,074 : x
  2. Step 2: Convert to fraction form
    247,304,981,709/535,675,246,074 = 535,675,246,074/x
  3. Step 3: Cross multiply
    247,304,981,709x = 535,675,246,074 × 535,675,246,074
  4. Step 4: Simplify right side
    247,304,981,709x = 286,947,969,256,440,467,554,304
  5. Step 5: Solve for x
    x = 286,947,969,256,440,467,554,304/247,304,981,709
  6. Step 6: Final answer
    x = 1,160,299,995,873.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.