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Finding the Third Proportional to 10,286,412 and 22,346,074

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Solution

The third proportional to 10,286,412 and 22,346,074 is: 48,544,334.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286,412 : 22,346,074 = 22,346,074 : x
  2. Step 2: Convert to fraction form
    10,286,412/22,346,074 = 22,346,074/x
  3. Step 3: Cross multiply
    10,286,412x = 22,346,074 × 22,346,074
  4. Step 4: Simplify right side
    10,286,412x = 499,347,023,213,476
  5. Step 5: Solve for x
    x = 499,347,023,213,476/10,286,412
  6. Step 6: Final answer
    x = 48,544,334.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.