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Finding the Third Proportional to 5,684,475.38 and 8,737,578

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Solution

The third proportional to 5,684,475.38 and 8,737,578 is: 13,430,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684,475.38 : 8,737,578 = 8,737,578 : x
  2. Step 2: Convert to fraction form
    5,684,475.38/8,737,578 = 8,737,578/x
  3. Step 3: Cross multiply
    5,684,475.38x = 8,737,578 × 8,737,578
  4. Step 4: Simplify right side
    5,684,475.38x = 76,345,269,306,084
  5. Step 5: Solve for x
    x = 76,345,269,306,084/5,684,475.38
  6. Step 6: Final answer
    x = 13,430,486.42

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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.