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Finding the Third Proportional to 5,144,304.38 and 7,894,322.44

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Solution

The third proportional to 5,144,304.38 and 7,894,322.44 is: 12,114,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144,304.38 : 7,894,322.44 = 7,894,322.44 : x
  2. Step 2: Convert to fraction form
    5,144,304.38/7,894,322.44 = 7,894,322.44/x
  3. Step 3: Cross multiply
    5,144,304.38x = 7,894,322.44 × 7,894,322.44
  4. Step 4: Simplify right side
    5,144,304.38x = 62,320,326,747,215.94
  5. Step 5: Solve for x
    x = 62,320,326,747,215.94/5,144,304.38
  6. Step 6: Final answer
    x = 12,114,432.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.