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Finding the Third Proportional to 37,844,545 and 82,853,697

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Solution

The third proportional to 37,844,545 and 82,853,697 is: 181,392,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,844,545 : 82,853,697 = 82,853,697 : x
  2. Step 2: Convert to fraction form
    37,844,545/82,853,697 = 82,853,697/x
  3. Step 3: Cross multiply
    37,844,545x = 82,853,697 × 82,853,697
  4. Step 4: Simplify right side
    37,844,545x = 6,864,735,106,567,809
  5. Step 5: Solve for x
    x = 6,864,735,106,567,809/37,844,545
  6. Step 6: Final answer
    x = 181,392,988.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.