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Finding the Third Proportional to 4,666,107 and 9,704,679

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Solution

The third proportional to 4,666,107 and 9,704,679 is: 20,184,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666,107 : 9,704,679 = 9,704,679 : x
  2. Step 2: Convert to fraction form
    4,666,107/9,704,679 = 9,704,679/x
  3. Step 3: Cross multiply
    4,666,107x = 9,704,679 × 9,704,679
  4. Step 4: Simplify right side
    4,666,107x = 94,180,794,493,041
  5. Step 5: Solve for x
    x = 94,180,794,493,041/4,666,107
  6. Step 6: Final answer
    x = 20,184,019.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.