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Finding the Third Proportional to 5,677,732.13 and 12,454,596.84

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Solution

The third proportional to 5,677,732.13 and 12,454,596.84 is: 27,320,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677,732.13 : 12,454,596.84 = 12,454,596.84 : x
  2. Step 2: Convert to fraction form
    5,677,732.13/12,454,596.84 = 12,454,596.84/x
  3. Step 3: Cross multiply
    5,677,732.13x = 12,454,596.84 × 12,454,596.84
  4. Step 4: Simplify right side
    5,677,732.13x = 155,116,982,540,347.47
  5. Step 5: Solve for x
    x = 155,116,982,540,347.47/5,677,732.13
  6. Step 6: Final answer
    x = 27,320,236.17

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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.