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Finding the Third Proportional to 795,376,197 and 1,728,428,829.75

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Solution

The third proportional to 795,376,197 and 1,728,428,829.75 is: 3,756,041,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,376,197 : 1,728,428,829.75 = 1,728,428,829.75 : x
  2. Step 2: Convert to fraction form
    795,376,197/1,728,428,829.75 = 1,728,428,829.75/x
  3. Step 3: Cross multiply
    795,376,197x = 1,728,428,829.75 × 1,728,428,829.75
  4. Step 4: Simplify right side
    795,376,197x = 2,987,466,219,510,954,496
  5. Step 5: Solve for x
    x = 2,987,466,219,510,954,496/795,376,197
  6. Step 6: Final answer
    x = 3,756,041,770.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.