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Finding the Third Proportional to 7,750,767 and 18,103,524

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Solution

The third proportional to 7,750,767 and 18,103,524 is: 42,284,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,767 : 18,103,524 = 18,103,524 : x
  2. Step 2: Convert to fraction form
    7,750,767/18,103,524 = 18,103,524/x
  3. Step 3: Cross multiply
    7,750,767x = 18,103,524 × 18,103,524
  4. Step 4: Simplify right side
    7,750,767x = 327,737,581,218,576
  5. Step 5: Solve for x
    x = 327,737,581,218,576/7,750,767
  6. Step 6: Final answer
    x = 42,284,535.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.