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Finding the Third Proportional to 3,419,359.97 and 7,406,145.19

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Solution

The third proportional to 3,419,359.97 and 7,406,145.19 is: 16,041,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419,359.97 : 7,406,145.19 = 7,406,145.19 : x
  2. Step 2: Convert to fraction form
    3,419,359.97/7,406,145.19 = 7,406,145.19/x
  3. Step 3: Cross multiply
    3,419,359.97x = 7,406,145.19 × 7,406,145.19
  4. Step 4: Simplify right side
    3,419,359.97x = 54,850,986,538,329.41
  5. Step 5: Solve for x
    x = 54,850,986,538,329.41/3,419,359.97
  6. Step 6: Final answer
    x = 16,041,302.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.