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Finding the Third Proportional to 4,991,424 and 10,739,427

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Solution

The third proportional to 4,991,424 and 10,739,427 is: 23,106,691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991,424 : 10,739,427 = 10,739,427 : x
  2. Step 2: Convert to fraction form
    4,991,424/10,739,427 = 10,739,427/x
  3. Step 3: Cross multiply
    4,991,424x = 10,739,427 × 10,739,427
  4. Step 4: Simplify right side
    4,991,424x = 115,335,292,288,329
  5. Step 5: Solve for x
    x = 115,335,292,288,329/4,991,424
  6. Step 6: Final answer
    x = 23,106,691.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.