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Finding the Third Proportional to 382,103,644 and 818,729,216

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Solution

The third proportional to 382,103,644 and 818,729,216 is: 1,754,281,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,103,644 : 818,729,216 = 818,729,216 : x
  2. Step 2: Convert to fraction form
    382,103,644/818,729,216 = 818,729,216/x
  3. Step 3: Cross multiply
    382,103,644x = 818,729,216 × 818,729,216
  4. Step 4: Simplify right side
    382,103,644x = 670,317,529,131,974,656
  5. Step 5: Solve for x
    x = 670,317,529,131,974,656/382,103,644
  6. Step 6: Final answer
    x = 1,754,281,958.99

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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.