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Finding the Third Proportional to 3,419,358.75 and 7,406,141.06

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Solution

The third proportional to 3,419,358.75 and 7,406,141.06 is: 16,041,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419,358.75 : 7,406,141.06 = 7,406,141.06 : x
  2. Step 2: Convert to fraction form
    3,419,358.75/7,406,141.06 = 7,406,141.06/x
  3. Step 3: Cross multiply
    3,419,358.75x = 7,406,141.06 × 7,406,141.06
  4. Step 4: Simplify right side
    3,419,358.75x = 54,850,925,437,648.62
  5. Step 5: Solve for x
    x = 54,850,925,437,648.62/3,419,358.75
  6. Step 6: Final answer
    x = 16,041,290.03

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