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Finding the Third Proportional to 815,022,496.13 and 1,270,961,214.19

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Solution

The third proportional to 815,022,496.13 and 1,270,961,214.19 is: 1,981,960,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,022,496.13 : 1,270,961,214.19 = 1,270,961,214.19 : x
  2. Step 2: Convert to fraction form
    815,022,496.13/1,270,961,214.19 = 1,270,961,214.19/x
  3. Step 3: Cross multiply
    815,022,496.13x = 1,270,961,214.19 × 1,270,961,214.19
  4. Step 4: Simplify right side
    815,022,496.13x = 1,615,342,407,968,964,352
  5. Step 5: Solve for x
    x = 1,615,342,407,968,964,352/815,022,496.13
  6. Step 6: Final answer
    x = 1,981,960,517.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.