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Finding the Third Proportional to 6,097,692 and 8,917,524

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Solution

The third proportional to 6,097,692 and 8,917,524 is: 13,041,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097,692 : 8,917,524 = 8,917,524 : x
  2. Step 2: Convert to fraction form
    6,097,692/8,917,524 = 8,917,524/x
  3. Step 3: Cross multiply
    6,097,692x = 8,917,524 × 8,917,524
  4. Step 4: Simplify right side
    6,097,692x = 79,522,234,290,576
  5. Step 5: Solve for x
    x = 79,522,234,290,576/6,097,692
  6. Step 6: Final answer
    x = 13,041,366.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.