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Finding the Third Proportional to 6,191,898.19 and 9,105,847.88

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Solution

The third proportional to 6,191,898.19 and 9,105,847.88 is: 13,391,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191,898.19 : 9,105,847.88 = 9,105,847.88 : x
  2. Step 2: Convert to fraction form
    6,191,898.19/9,105,847.88 = 9,105,847.88/x
  3. Step 3: Cross multiply
    6,191,898.19x = 9,105,847.88 × 9,105,847.88
  4. Step 4: Simplify right side
    6,191,898.19x = 82,916,465,522,642.02
  5. Step 5: Solve for x
    x = 82,916,465,522,642.02/6,191,898.19
  6. Step 6: Final answer
    x = 13,391,122.24

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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.