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Finding the Third Proportional to 3,617,123,932.50 and 7,757,609,608.50

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Solution

The third proportional to 3,617,123,932.50 and 7,757,609,608.50 is: 16,637,667,926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617,123,932.50 : 7,757,609,608.50 = 7,757,609,608.50 : x
  2. Step 2: Convert to fraction form
    3,617,123,932.50/7,757,609,608.50 = 7,757,609,608.50/x
  3. Step 3: Cross multiply
    3,617,123,932.50x = 7,757,609,608.50 × 7,757,609,608.50
  4. Step 4: Simplify right side
    3,617,123,932.50x = 60,180,506,837,891,522,560
  5. Step 5: Solve for x
    x = 60,180,506,837,891,522,560/3,617,123,932.50
  6. Step 6: Final answer
    x = 16,637,667,926.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.