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Finding the Third Proportional to 382,567,560 and 818,322,960

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Solution

The third proportional to 382,567,560 and 818,322,960 is: 1,750,416,232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,567,560 : 818,322,960 = 818,322,960 : x
  2. Step 2: Convert to fraction form
    382,567,560/818,322,960 = 818,322,960/x
  3. Step 3: Cross multiply
    382,567,560x = 818,322,960 × 818,322,960
  4. Step 4: Simplify right side
    382,567,560x = 669,652,466,863,161,600
  5. Step 5: Solve for x
    x = 669,652,466,863,161,600/382,567,560
  6. Step 6: Final answer
    x = 1,750,416,232.01

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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.