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Finding the Third Proportional to 12,584,344.75 and 19,432,855.38

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Solution

The third proportional to 12,584,344.75 and 19,432,855.38 is: 30,008,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584,344.75 : 19,432,855.38 = 19,432,855.38 : x
  2. Step 2: Convert to fraction form
    12,584,344.75/19,432,855.38 = 19,432,855.38/x
  3. Step 3: Cross multiply
    12,584,344.75x = 19,432,855.38 × 19,432,855.38
  4. Step 4: Simplify right side
    12,584,344.75x = 377,635,868,025,666.38
  5. Step 5: Solve for x
    x = 377,635,868,025,666.38/12,584,344.75
  6. Step 6: Final answer
    x = 30,008,385.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.