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Finding the Third Proportional to 755,770,769,760 and 1,665,591,692,337

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Solution

The third proportional to 755,770,769,760 and 1,665,591,692,337 is: 3,670,684,017,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,770,769,760 : 1,665,591,692,337 = 1,665,591,692,337 : x
  2. Step 2: Convert to fraction form
    755,770,769,760/1,665,591,692,337 = 1,665,591,692,337/x
  3. Step 3: Cross multiply
    755,770,769,760x = 1,665,591,692,337 × 1,665,591,692,337
  4. Step 4: Simplify right side
    755,770,769,760x = 2,774,195,685,582,031,921,610,752
  5. Step 5: Solve for x
    x = 2,774,195,685,582,031,921,610,752/755,770,769,760
  6. Step 6: Final answer
    x = 3,670,684,017,672.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.