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Finding the Third Proportional to 970,282,600 and 2,110,568,751

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Solution

The third proportional to 970,282,600 and 2,110,568,751 is: 4,590,930,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,282,600 : 2,110,568,751 = 2,110,568,751 : x
  2. Step 2: Convert to fraction form
    970,282,600/2,110,568,751 = 2,110,568,751/x
  3. Step 3: Cross multiply
    970,282,600x = 2,110,568,751 × 2,110,568,751
  4. Step 4: Simplify right side
    970,282,600x = 4,454,500,452,697,699,840
  5. Step 5: Solve for x
    x = 4,454,500,452,697,699,840/970,282,600
  6. Step 6: Final answer
    x = 4,590,930,985.16

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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.