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Finding the Third Proportional to 845,568,478 and 1,857,418,940

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Solution

The third proportional to 845,568,478 and 1,857,418,940 is: 4,080,101,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,568,478 : 1,857,418,940 = 1,857,418,940 : x
  2. Step 2: Convert to fraction form
    845,568,478/1,857,418,940 = 1,857,418,940/x
  3. Step 3: Cross multiply
    845,568,478x = 1,857,418,940 × 1,857,418,940
  4. Step 4: Simplify right side
    845,568,478x = 3,450,005,118,670,723,584
  5. Step 5: Solve for x
    x = 3,450,005,118,670,723,584/845,568,478
  6. Step 6: Final answer
    x = 4,080,101,385.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.