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Finding the Third Proportional to 382,103,656 and 818,729,240

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Solution

The third proportional to 382,103,656 and 818,729,240 is: 1,754,282,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,103,656 : 818,729,240 = 818,729,240 : x
  2. Step 2: Convert to fraction form
    382,103,656/818,729,240 = 818,729,240/x
  3. Step 3: Cross multiply
    382,103,656x = 818,729,240 × 818,729,240
  4. Step 4: Simplify right side
    382,103,656x = 670,317,568,430,977,536
  5. Step 5: Solve for x
    x = 670,317,568,430,977,536/382,103,656
  6. Step 6: Final answer
    x = 1,754,282,006.74

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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.