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Finding the Third Proportional to 870,649,055 and 1,331,295,233

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Solution

The third proportional to 870,649,055 and 1,331,295,233 is: 2,035,661,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,649,055 : 1,331,295,233 = 1,331,295,233 : x
  2. Step 2: Convert to fraction form
    870,649,055/1,331,295,233 = 1,331,295,233/x
  3. Step 3: Cross multiply
    870,649,055x = 1,331,295,233 × 1,331,295,233
  4. Step 4: Simplify right side
    870,649,055x = 1,772,346,997,408,524,288
  5. Step 5: Solve for x
    x = 1,772,346,997,408,524,288/870,649,055
  6. Step 6: Final answer
    x = 2,035,661,771.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.