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Finding the Third Proportional to 10,408,601.25 and 22,554,769.78

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Solution

The third proportional to 10,408,601.25 and 22,554,769.78 is: 48,874,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408,601.25 : 22,554,769.78 = 22,554,769.78 : x
  2. Step 2: Convert to fraction form
    10,408,601.25/22,554,769.78 = 22,554,769.78/x
  3. Step 3: Cross multiply
    10,408,601.25x = 22,554,769.78 × 22,554,769.78
  4. Step 4: Simplify right side
    10,408,601.25x = 508,717,639,885,188.19
  5. Step 5: Solve for x
    x = 508,717,639,885,188.19/10,408,601.25
  6. Step 6: Final answer
    x = 48,874,736.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.