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Finding the Third Proportional to 970,282,593.75 and 2,110,568,738.25

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Solution

The third proportional to 970,282,593.75 and 2,110,568,738.25 is: 4,590,930,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,282,593.75 : 2,110,568,738.25 = 2,110,568,738.25 : x
  2. Step 2: Convert to fraction form
    970,282,593.75/2,110,568,738.25 = 2,110,568,738.25/x
  3. Step 3: Cross multiply
    970,282,593.75x = 2,110,568,738.25 × 2,110,568,738.25
  4. Step 4: Simplify right side
    970,282,593.75x = 4,454,500,398,878,197,248
  5. Step 5: Solve for x
    x = 4,454,500,398,878,197,248/970,282,593.75
  6. Step 6: Final answer
    x = 4,590,930,959.26

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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.