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Finding the Third Proportional to 5,678,380.13 and 12,384,478.13

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Solution

The third proportional to 5,678,380.13 and 12,384,478.13 is: 27,010,396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678,380.13 : 12,384,478.13 = 12,384,478.13 : x
  2. Step 2: Convert to fraction form
    5,678,380.13/12,384,478.13 = 12,384,478.13/x
  3. Step 3: Cross multiply
    5,678,380.13x = 12,384,478.13 × 12,384,478.13
  4. Step 4: Simplify right side
    5,678,380.13x = 153,375,298,428,603.50
  5. Step 5: Solve for x
    x = 153,375,298,428,603.50/5,678,380.13
  6. Step 6: Final answer
    x = 27,010,396.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.