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Finding the Third Proportional to 12,490,839 and 27,853,726.78

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Solution

The third proportional to 12,490,839 and 27,853,726.78 is: 62,111,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490,839 : 27,853,726.78 = 27,853,726.78 : x
  2. Step 2: Convert to fraction form
    12,490,839/27,853,726.78 = 27,853,726.78/x
  3. Step 3: Cross multiply
    12,490,839x = 27,853,726.78 × 27,853,726.78
  4. Step 4: Simplify right side
    12,490,839x = 775,830,095,604,523.50
  5. Step 5: Solve for x
    x = 775,830,095,604,523.50/12,490,839
  6. Step 6: Final answer
    x = 62,111,928.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.