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Finding the Third Proportional to 766,661,780 and 1,251,757,181

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Solution

The third proportional to 766,661,780 and 1,251,757,181 is: 2,043,790,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,661,780 : 1,251,757,181 = 1,251,757,181 : x
  2. Step 2: Convert to fraction form
    766,661,780/1,251,757,181 = 1,251,757,181/x
  3. Step 3: Cross multiply
    766,661,780x = 1,251,757,181 × 1,251,757,181
  4. Step 4: Simplify right side
    766,661,780x = 1,566,896,040,185,066,752
  5. Step 5: Solve for x
    x = 1,566,896,040,185,066,752/766,661,780
  6. Step 6: Final answer
    x = 2,043,790,470.66

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.