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Finding the Third Proportional to 3,337,680 and 7,178,352

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Solution

The third proportional to 3,337,680 and 7,178,352 is: 15,438,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337,680 : 7,178,352 = 7,178,352 : x
  2. Step 2: Convert to fraction form
    3,337,680/7,178,352 = 7,178,352/x
  3. Step 3: Cross multiply
    3,337,680x = 7,178,352 × 7,178,352
  4. Step 4: Simplify right side
    3,337,680x = 51,528,737,435,904
  5. Step 5: Solve for x
    x = 51,528,737,435,904/3,337,680
  6. Step 6: Final answer
    x = 15,438,489.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.