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Finding the Third Proportional to 5,670,708.75 and 12,443,726.25

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Solution

The third proportional to 5,670,708.75 and 12,443,726.25 is: 27,306,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670,708.75 : 12,443,726.25 = 12,443,726.25 : x
  2. Step 2: Convert to fraction form
    5,670,708.75/12,443,726.25 = 12,443,726.25/x
  3. Step 3: Cross multiply
    5,670,708.75x = 12,443,726.25 × 12,443,726.25
  4. Step 4: Simplify right side
    5,670,708.75x = 154,846,322,984,939.06
  5. Step 5: Solve for x
    x = 154,846,322,984,939.06/5,670,708.75
  6. Step 6: Final answer
    x = 27,306,343.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.