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Finding the Third Proportional to 861,867,668 and 1,337,263,212

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Solution

The third proportional to 861,867,668 and 1,337,263,212 is: 2,074,881,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,867,668 : 1,337,263,212 = 1,337,263,212 : x
  2. Step 2: Convert to fraction form
    861,867,668/1,337,263,212 = 1,337,263,212/x
  3. Step 3: Cross multiply
    861,867,668x = 1,337,263,212 × 1,337,263,212
  4. Step 4: Simplify right side
    861,867,668x = 1,788,272,898,168,557,056
  5. Step 5: Solve for x
    x = 1,788,272,898,168,557,056/861,867,668
  6. Step 6: Final answer
    x = 2,074,881,057.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.