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Finding the Third Proportional to 687,754,660 and 1,510,620,576

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Solution

The third proportional to 687,754,660 and 1,510,620,576 is: 3,318,006,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,754,660 : 1,510,620,576 = 1,510,620,576 : x
  2. Step 2: Convert to fraction form
    687,754,660/1,510,620,576 = 1,510,620,576/x
  3. Step 3: Cross multiply
    687,754,660x = 1,510,620,576 × 1,510,620,576
  4. Step 4: Simplify right side
    687,754,660x = 2,281,974,524,634,571,776
  5. Step 5: Solve for x
    x = 2,281,974,524,634,571,776/687,754,660
  6. Step 6: Final answer
    x = 3,318,006,634.28

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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.