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Finding the Third Proportional to 766,662,275 and 1,251,757,925

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Solution

The third proportional to 766,662,275 and 1,251,757,925 is: 2,043,791,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,662,275 : 1,251,757,925 = 1,251,757,925 : x
  2. Step 2: Convert to fraction form
    766,662,275/1,251,757,925 = 1,251,757,925/x
  3. Step 3: Cross multiply
    766,662,275x = 1,251,757,925 × 1,251,757,925
  4. Step 4: Simplify right side
    766,662,275x = 1,566,897,902,800,305,664
  5. Step 5: Solve for x
    x = 1,566,897,902,800,305,664/766,662,275
  6. Step 6: Final answer
    x = 2,043,791,580.59

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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.