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Finding the Third Proportional to 769,351,527 and 1,814,344,596

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Solution

The third proportional to 769,351,527 and 1,814,344,596 is: 4,278,728,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,351,527 : 1,814,344,596 = 1,814,344,596 : x
  2. Step 2: Convert to fraction form
    769,351,527/1,814,344,596 = 1,814,344,596/x
  3. Step 3: Cross multiply
    769,351,527x = 1,814,344,596 × 1,814,344,596
  4. Step 4: Simplify right side
    769,351,527x = 3,291,846,313,034,403,328
  5. Step 5: Solve for x
    x = 3,291,846,313,034,403,328/769,351,527
  6. Step 6: Final answer
    x = 4,278,728,510.32

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.