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Finding the Third Proportional to 5,148,280 and 6,984,108

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Solution

The third proportional to 5,148,280 and 6,984,108 is: 9,474,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148,280 : 6,984,108 = 6,984,108 : x
  2. Step 2: Convert to fraction form
    5,148,280/6,984,108 = 6,984,108/x
  3. Step 3: Cross multiply
    5,148,280x = 6,984,108 × 6,984,108
  4. Step 4: Simplify right side
    5,148,280x = 48,777,764,555,664
  5. Step 5: Solve for x
    x = 48,777,764,555,664/5,148,280
  6. Step 6: Final answer
    x = 9,474,574.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.