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Finding the Third Proportional to 4,571,102 and 9,749,704

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Solution

The third proportional to 4,571,102 and 9,749,704 is: 20,795,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571,102 : 9,749,704 = 9,749,704 : x
  2. Step 2: Convert to fraction form
    4,571,102/9,749,704 = 9,749,704/x
  3. Step 3: Cross multiply
    4,571,102x = 9,749,704 × 9,749,704
  4. Step 4: Simplify right side
    4,571,102x = 95,056,728,087,616
  5. Step 5: Solve for x
    x = 95,056,728,087,616/4,571,102
  6. Step 6: Final answer
    x = 20,795,144.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.