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Finding the Third Proportional to 965,005,396 and 2,106,981,873

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Solution

The third proportional to 965,005,396 and 2,106,981,873 is: 4,600,360,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,005,396 : 2,106,981,873 = 2,106,981,873 : x
  2. Step 2: Convert to fraction form
    965,005,396/2,106,981,873 = 2,106,981,873/x
  3. Step 3: Cross multiply
    965,005,396x = 2,106,981,873 × 2,106,981,873
  4. Step 4: Simplify right side
    965,005,396x = 4,439,372,613,150,587,904
  5. Step 5: Solve for x
    x = 4,439,372,613,150,587,904/965,005,396
  6. Step 6: Final answer
    x = 4,600,360,403.74

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