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Finding the Third Proportional to 22,182,351,949 and 52,312,144,504

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Solution

The third proportional to 22,182,351,949 and 52,312,144,504 is: 123,366,560,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182,351,949 : 52,312,144,504 = 52,312,144,504 : x
  2. Step 2: Convert to fraction form
    22,182,351,949/52,312,144,504 = 52,312,144,504/x
  3. Step 3: Cross multiply
    22,182,351,949x = 52,312,144,504 × 52,312,144,504
  4. Step 4: Simplify right side
    22,182,351,949x = 2,736,560,462,607,377,498,112
  5. Step 5: Solve for x
    x = 2,736,560,462,607,377,498,112/22,182,351,949
  6. Step 6: Final answer
    x = 123,366,560,448.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.