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Finding the Third Proportional to 777,104,049.75 and 1,690,364,943.75

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Solution

The third proportional to 777,104,049.75 and 1,690,364,943.75 is: 3,676,899,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,104,049.75 : 1,690,364,943.75 = 1,690,364,943.75 : x
  2. Step 2: Convert to fraction form
    777,104,049.75/1,690,364,943.75 = 1,690,364,943.75/x
  3. Step 3: Cross multiply
    777,104,049.75x = 1,690,364,943.75 × 1,690,364,943.75
  4. Step 4: Simplify right side
    777,104,049.75x = 2,857,333,643,058,940,416
  5. Step 5: Solve for x
    x = 2,857,333,643,058,940,416/777,104,049.75
  6. Step 6: Final answer
    x = 3,676,899,694.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.