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Finding the Third Proportional to 3,466,524 and 7,729,664

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Solution

The third proportional to 3,466,524 and 7,729,664 is: 17,235,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466,524 : 7,729,664 = 7,729,664 : x
  2. Step 2: Convert to fraction form
    3,466,524/7,729,664 = 7,729,664/x
  3. Step 3: Cross multiply
    3,466,524x = 7,729,664 × 7,729,664
  4. Step 4: Simplify right side
    3,466,524x = 59,747,705,552,896
  5. Step 5: Solve for x
    x = 59,747,705,552,896/3,466,524
  6. Step 6: Final answer
    x = 17,235,624.38

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.