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Finding the Third Proportional to 27,820,086 and 42,558,543

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Solution

The third proportional to 27,820,086 and 42,558,543 is: 65,105,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820,086 : 42,558,543 = 42,558,543 : x
  2. Step 2: Convert to fraction form
    27,820,086/42,558,543 = 42,558,543/x
  3. Step 3: Cross multiply
    27,820,086x = 42,558,543 × 42,558,543
  4. Step 4: Simplify right side
    27,820,086x = 1,811,229,582,282,849
  5. Step 5: Solve for x
    x = 1,811,229,582,282,849/27,820,086
  6. Step 6: Final answer
    x = 65,105,103.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.