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Finding the Third Proportional to 5,044,910 and 7,833,163

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Solution

The third proportional to 5,044,910 and 7,833,163 is: 12,162,445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044,910 : 7,833,163 = 7,833,163 : x
  2. Step 2: Convert to fraction form
    5,044,910/7,833,163 = 7,833,163/x
  3. Step 3: Cross multiply
    5,044,910x = 7,833,163 × 7,833,163
  4. Step 4: Simplify right side
    5,044,910x = 61,358,442,584,569
  5. Step 5: Solve for x
    x = 61,358,442,584,569/5,044,910
  6. Step 6: Final answer
    x = 12,162,445.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.