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Finding the Third Proportional to 382,103,654 and 818,729,236

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Solution

The third proportional to 382,103,654 and 818,729,236 is: 1,754,281,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,103,654 : 818,729,236 = 818,729,236 : x
  2. Step 2: Convert to fraction form
    382,103,654/818,729,236 = 818,729,236/x
  3. Step 3: Cross multiply
    382,103,654x = 818,729,236 × 818,729,236
  4. Step 4: Simplify right side
    382,103,654x = 670,317,561,881,143,680
  5. Step 5: Solve for x
    x = 670,317,561,881,143,680/382,103,654
  6. Step 6: Final answer
    x = 1,754,281,998.78

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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.