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Finding the Third Proportional to 322,307,115 and 690,561,576

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Solution

The third proportional to 322,307,115 and 690,561,576 is: 1,479,567,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,307,115 : 690,561,576 = 690,561,576 : x
  2. Step 2: Convert to fraction form
    322,307,115/690,561,576 = 690,561,576/x
  3. Step 3: Cross multiply
    322,307,115x = 690,561,576 × 690,561,576
  4. Step 4: Simplify right side
    322,307,115x = 476,875,290,247,603,776
  5. Step 5: Solve for x
    x = 476,875,290,247,603,776/322,307,115
  6. Step 6: Final answer
    x = 1,479,567,989.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.