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Finding the Third Proportional to 4,102,991 and 9,497,682

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Solution

The third proportional to 4,102,991 and 9,497,682 is: 21,985,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102,991 : 9,497,682 = 9,497,682 : x
  2. Step 2: Convert to fraction form
    4,102,991/9,497,682 = 9,497,682/x
  3. Step 3: Cross multiply
    4,102,991x = 9,497,682 × 9,497,682
  4. Step 4: Simplify right side
    4,102,991x = 90,205,963,373,124
  5. Step 5: Solve for x
    x = 90,205,963,373,124/4,102,991
  6. Step 6: Final answer
    x = 21,985,415.85

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.