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Finding the Third Proportional to 6,818,919.19 and 10,586,986.03

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Solution

The third proportional to 6,818,919.19 and 10,586,986.03 is: 16,437,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818,919.19 : 10,586,986.03 = 10,586,986.03 : x
  2. Step 2: Convert to fraction form
    6,818,919.19/10,586,986.03 = 10,586,986.03/x
  3. Step 3: Cross multiply
    6,818,919.19x = 10,586,986.03 × 10,586,986.03
  4. Step 4: Simplify right side
    6,818,919.19x = 112,084,273,225,882.62
  5. Step 5: Solve for x
    x = 112,084,273,225,882.62/6,818,919.19
  6. Step 6: Final answer
    x = 16,437,249.09

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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.