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Finding the Third Proportional to 5,107,046.52 and 7,588,219.38

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Solution

The third proportional to 5,107,046.52 and 7,588,219.38 is: 11,274,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107,046.52 : 7,588,219.38 = 7,588,219.38 : x
  2. Step 2: Convert to fraction form
    5,107,046.52/7,588,219.38 = 7,588,219.38/x
  3. Step 3: Cross multiply
    5,107,046.52x = 7,588,219.38 × 7,588,219.38
  4. Step 4: Simplify right side
    5,107,046.52x = 57,581,073,312,768.02
  5. Step 5: Solve for x
    x = 57,581,073,312,768.02/5,107,046.52
  6. Step 6: Final answer
    x = 11,274,828.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.