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Finding the Third Proportional to 4,666,120 and 9,704,704

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Solution

The third proportional to 4,666,120 and 9,704,704 is: 20,184,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666,120 : 9,704,704 = 9,704,704 : x
  2. Step 2: Convert to fraction form
    4,666,120/9,704,704 = 9,704,704/x
  3. Step 3: Cross multiply
    4,666,120x = 9,704,704 × 9,704,704
  4. Step 4: Simplify right side
    4,666,120x = 94,181,279,727,616
  5. Step 5: Solve for x
    x = 94,181,279,727,616/4,666,120
  6. Step 6: Final answer
    x = 20,184,067.22

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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.