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Finding the Third Proportional to 22,952,003.06 and 48,494,616.19

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Solution

The third proportional to 22,952,003.06 and 48,494,616.19 is: 102,462,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952,003.06 : 48,494,616.19 = 48,494,616.19 : x
  2. Step 2: Convert to fraction form
    22,952,003.06/48,494,616.19 = 48,494,616.19/x
  3. Step 3: Cross multiply
    22,952,003.06x = 48,494,616.19 × 48,494,616.19
  4. Step 4: Simplify right side
    22,952,003.06x = 2,351,727,799,172,937
  5. Step 5: Solve for x
    x = 2,351,727,799,172,937/22,952,003.06
  6. Step 6: Final answer
    x = 102,462,856.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.