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Finding the Third Proportional to 22,124,351,772 and 48,661,665,057

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Solution

The third proportional to 22,124,351,772 and 48,661,665,057 is: 107,029,470,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,124,351,772 : 48,661,665,057 = 48,661,665,057 : x
  2. Step 2: Convert to fraction form
    22,124,351,772/48,661,665,057 = 48,661,665,057/x
  3. Step 3: Cross multiply
    22,124,351,772x = 48,661,665,057 × 48,661,665,057
  4. Step 4: Simplify right side
    22,124,351,772x = 2,367,957,646,119,654,653,952
  5. Step 5: Solve for x
    x = 2,367,957,646,119,654,653,952/22,124,351,772
  6. Step 6: Final answer
    x = 107,029,470,084.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.