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Finding the Third Proportional to 970,282,620 and 2,110,568,793.75

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Solution

The third proportional to 970,282,620 and 2,110,568,793.75 is: 4,590,931,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,282,620 : 2,110,568,793.75 = 2,110,568,793.75 : x
  2. Step 2: Convert to fraction form
    970,282,620/2,110,568,793.75 = 2,110,568,793.75/x
  3. Step 3: Cross multiply
    970,282,620x = 2,110,568,793.75 × 2,110,568,793.75
  4. Step 4: Simplify right side
    970,282,620x = 4,454,500,633,151,329,792
  5. Step 5: Solve for x
    x = 4,454,500,633,151,329,792/970,282,620
  6. Step 6: Final answer
    x = 4,590,931,076.51

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Why These Related Problems?

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