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Finding the Third Proportional to 866,111,789.39 and 1,778,138,795.18

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Solution

The third proportional to 866,111,789.39 and 1,778,138,795.18 is: 3,650,542,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,111,789.39 : 1,778,138,795.18 = 1,778,138,795.18 : x
  2. Step 2: Convert to fraction form
    866,111,789.39/1,778,138,795.18 = 1,778,138,795.18/x
  3. Step 3: Cross multiply
    866,111,789.39x = 1,778,138,795.18 × 1,778,138,795.18
  4. Step 4: Simplify right side
    866,111,789.39x = 3,161,777,574,923,470,848
  5. Step 5: Solve for x
    x = 3,161,777,574,923,470,848/866,111,789.39
  6. Step 6: Final answer
    x = 3,650,542,128.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.