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Finding the Third Proportional to 3,378,597.75 and 7,972,102.69

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Solution

The third proportional to 3,378,597.75 and 7,972,102.69 is: 18,810,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378,597.75 : 7,972,102.69 = 7,972,102.69 : x
  2. Step 2: Convert to fraction form
    3,378,597.75/7,972,102.69 = 7,972,102.69/x
  3. Step 3: Cross multiply
    3,378,597.75x = 7,972,102.69 × 7,972,102.69
  4. Step 4: Simplify right side
    3,378,597.75x = 63,554,421,260,044.72
  5. Step 5: Solve for x
    x = 63,554,421,260,044.72/3,378,597.75
  6. Step 6: Final answer
    x = 18,810,887.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.