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Finding the Third Proportional to 37,844,547 and 82,853,701

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Solution

The third proportional to 37,844,547 and 82,853,701 is: 181,392,996.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,844,547 : 82,853,701 = 82,853,701 : x
  2. Step 2: Convert to fraction form
    37,844,547/82,853,701 = 82,853,701/x
  3. Step 3: Cross multiply
    37,844,547x = 82,853,701 × 82,853,701
  4. Step 4: Simplify right side
    37,844,547x = 6,864,735,769,397,401
  5. Step 5: Solve for x
    x = 6,864,735,769,397,401/37,844,547
  6. Step 6: Final answer
    x = 181,392,996.18

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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.