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Finding the Third Proportional to 6,092,595.98 and 9,464,278.57

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Solution

The third proportional to 6,092,595.98 and 9,464,278.57 is: 14,701,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092,595.98 : 9,464,278.57 = 9,464,278.57 : x
  2. Step 2: Convert to fraction form
    6,092,595.98/9,464,278.57 = 9,464,278.57/x
  3. Step 3: Cross multiply
    6,092,595.98x = 9,464,278.57 × 9,464,278.57
  4. Step 4: Simplify right side
    6,092,595.98x = 89,572,568,856,476.42
  5. Step 5: Solve for x
    x = 89,572,568,856,476.42/6,092,595.98
  6. Step 6: Final answer
    x = 14,701,872.42

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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.