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Finding the Third Proportional to 903,746,517.75 and 1,396,517,521.50

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Solution

The third proportional to 903,746,517.75 and 1,396,517,521.50 is: 2,157,973,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,746,517.75 : 1,396,517,521.50 = 1,396,517,521.50 : x
  2. Step 2: Convert to fraction form
    903,746,517.75/1,396,517,521.50 = 1,396,517,521.50/x
  3. Step 3: Cross multiply
    903,746,517.75x = 1,396,517,521.50 × 1,396,517,521.50
  4. Step 4: Simplify right side
    903,746,517.75x = 1,950,261,187,856,503,040
  5. Step 5: Solve for x
    x = 1,950,261,187,856,503,040/903,746,517.75
  6. Step 6: Final answer
    x = 2,157,973,668.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.