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Finding the Third Proportional to 7,690,146.75 and 16,596,184.50

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Solution

The third proportional to 7,690,146.75 and 16,596,184.50 is: 35,816,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690,146.75 : 16,596,184.50 = 16,596,184.50 : x
  2. Step 2: Convert to fraction form
    7,690,146.75/16,596,184.50 = 16,596,184.50/x
  3. Step 3: Cross multiply
    7,690,146.75x = 16,596,184.50 × 16,596,184.50
  4. Step 4: Simplify right side
    7,690,146.75x = 275,433,339,958,040.25
  5. Step 5: Solve for x
    x = 275,433,339,958,040.25/7,690,146.75
  6. Step 6: Final answer
    x = 35,816,395.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.