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Finding the Third Proportional to 27,832,834 and 56,448,260

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Solution

The third proportional to 27,832,834 and 56,448,260 is: 114,483,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832,834 : 56,448,260 = 56,448,260 : x
  2. Step 2: Convert to fraction form
    27,832,834/56,448,260 = 56,448,260/x
  3. Step 3: Cross multiply
    27,832,834x = 56,448,260 × 56,448,260
  4. Step 4: Simplify right side
    27,832,834x = 3,186,406,057,027,600
  5. Step 5: Solve for x
    x = 3,186,406,057,027,600/27,832,834
  6. Step 6: Final answer
    x = 114,483,708.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.