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Finding the Third Proportional to 27,744,561 and 42,271,212

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Solution

The third proportional to 27,744,561 and 42,271,212 is: 64,403,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744,561 : 42,271,212 = 42,271,212 : x
  2. Step 2: Convert to fraction form
    27,744,561/42,271,212 = 42,271,212/x
  3. Step 3: Cross multiply
    27,744,561x = 42,271,212 × 42,271,212
  4. Step 4: Simplify right side
    27,744,561x = 1,786,855,363,948,944
  5. Step 5: Solve for x
    x = 1,786,855,363,948,944/27,744,561
  6. Step 6: Final answer
    x = 64,403,807.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.