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Finding the Third Proportional to 22,653,074,960 and 31,497,290,026

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Solution

The third proportional to 22,653,074,960 and 31,497,290,026 is: 43,794,464,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653,074,960 : 31,497,290,026 = 31,497,290,026 : x
  2. Step 2: Convert to fraction form
    22,653,074,960/31,497,290,026 = 31,497,290,026/x
  3. Step 3: Cross multiply
    22,653,074,960x = 31,497,290,026 × 31,497,290,026
  4. Step 4: Simplify right side
    22,653,074,960x = 992,079,278,981,959,122,944
  5. Step 5: Solve for x
    x = 992,079,278,981,959,122,944/22,653,074,960
  6. Step 6: Final answer
    x = 43,794,464,139.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.