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Finding the Third Proportional to 39,894,399 and 86,166,846

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Solution

The third proportional to 39,894,399 and 86,166,846 is: 186,109,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,894,399 : 86,166,846 = 86,166,846 : x
  2. Step 2: Convert to fraction form
    39,894,399/86,166,846 = 86,166,846/x
  3. Step 3: Cross multiply
    39,894,399x = 86,166,846 × 86,166,846
  4. Step 4: Simplify right side
    39,894,399x = 7,424,725,349,587,716
  5. Step 5: Solve for x
    x = 7,424,725,349,587,716/39,894,399
  6. Step 6: Final answer
    x = 186,109,467.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.