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Finding the Third Proportional to 22,175,758,574 and 33,822,182,542

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Solution

The third proportional to 22,175,758,574 and 33,822,182,542 is: 51,585,158,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,175,758,574 : 33,822,182,542 = 33,822,182,542 : x
  2. Step 2: Convert to fraction form
    22,175,758,574/33,822,182,542 = 33,822,182,542/x
  3. Step 3: Cross multiply
    22,175,758,574x = 33,822,182,542 × 33,822,182,542
  4. Step 4: Simplify right side
    22,175,758,574x = 1,143,940,031,904,369,606,656
  5. Step 5: Solve for x
    x = 1,143,940,031,904,369,606,656/22,175,758,574
  6. Step 6: Final answer
    x = 51,585,158,996.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.