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Finding the Third Proportional to 5,109,792 and 8,015,760

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Solution

The third proportional to 5,109,792 and 8,015,760 is: 12,574,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109,792 : 8,015,760 = 8,015,760 : x
  2. Step 2: Convert to fraction form
    5,109,792/8,015,760 = 8,015,760/x
  3. Step 3: Cross multiply
    5,109,792x = 8,015,760 × 8,015,760
  4. Step 4: Simplify right side
    5,109,792x = 64,252,408,377,600
  5. Step 5: Solve for x
    x = 64,252,408,377,600/5,109,792
  6. Step 6: Final answer
    x = 12,574,368.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.