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Finding the Third Proportional to 39,823,911 and 86,656,188

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Solution

The third proportional to 39,823,911 and 86,656,188 is: 188,562,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,823,911 : 86,656,188 = 86,656,188 : x
  2. Step 2: Convert to fraction form
    39,823,911/86,656,188 = 86,656,188/x
  3. Step 3: Cross multiply
    39,823,911x = 86,656,188 × 86,656,188
  4. Step 4: Simplify right side
    39,823,911x = 7,509,294,918,691,344
  5. Step 5: Solve for x
    x = 7,509,294,918,691,344/39,823,911
  6. Step 6: Final answer
    x = 188,562,467.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.