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Finding the Third Proportional to 4,641,613 and 6,971,187

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Solution

The third proportional to 4,641,613 and 6,971,187 is: 10,469,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641,613 : 6,971,187 = 6,971,187 : x
  2. Step 2: Convert to fraction form
    4,641,613/6,971,187 = 6,971,187/x
  3. Step 3: Cross multiply
    4,641,613x = 6,971,187 × 6,971,187
  4. Step 4: Simplify right side
    4,641,613x = 48,597,448,188,969
  5. Step 5: Solve for x
    x = 48,597,448,188,969/4,641,613
  6. Step 6: Final answer
    x = 10,469,948.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.