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Finding the Third Proportional to 6,191,911.69 and 9,105,868.13

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Solution

The third proportional to 6,191,911.69 and 9,105,868.13 is: 13,391,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191,911.69 : 9,105,868.13 = 9,105,868.13 : x
  2. Step 2: Convert to fraction form
    6,191,911.69/9,105,868.13 = 9,105,868.13/x
  3. Step 3: Cross multiply
    6,191,911.69x = 9,105,868.13 × 9,105,868.13
  4. Step 4: Simplify right side
    6,191,911.69x = 82,916,834,309,891.02
  5. Step 5: Solve for x
    x = 82,916,834,309,891.02/6,191,911.69
  6. Step 6: Final answer
    x = 13,391,152.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.