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Finding the Third Proportional to 1,235,754,777 and 1,865,123,997

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Solution

The third proportional to 1,235,754,777 and 1,865,123,997 is: 2,815,030,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,754,777 : 1,865,123,997 = 1,865,123,997 : x
  2. Step 2: Convert to fraction form
    1,235,754,777/1,865,123,997 = 1,865,123,997/x
  3. Step 3: Cross multiply
    1,235,754,777x = 1,865,123,997 × 1,865,123,997
  4. Step 4: Simplify right side
    1,235,754,777x = 3,478,687,524,185,255,936
  5. Step 5: Solve for x
    x = 3,478,687,524,185,255,936/1,235,754,777
  6. Step 6: Final answer
    x = 2,815,030,610.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.