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Finding the Third Proportional to 970,282,632 and 2,110,568,813

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Solution

The third proportional to 970,282,632 and 2,110,568,813 is: 4,590,931,103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,282,632 : 2,110,568,813 = 2,110,568,813 : x
  2. Step 2: Convert to fraction form
    970,282,632/2,110,568,813 = 2,110,568,813/x
  3. Step 3: Cross multiply
    970,282,632x = 2,110,568,813 × 2,110,568,813
  4. Step 4: Simplify right side
    970,282,632x = 4,454,500,714,408,228,864
  5. Step 5: Solve for x
    x = 4,454,500,714,408,228,864/970,282,632
  6. Step 6: Final answer
    x = 4,590,931,103.47

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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.