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Finding the Third Proportional to 39,719,246,846 and 86,412,007,900

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Solution

The third proportional to 39,719,246,846 and 86,412,007,900 is: 187,995,385,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,719,246,846 : 86,412,007,900 = 86,412,007,900 : x
  2. Step 2: Convert to fraction form
    39,719,246,846/86,412,007,900 = 86,412,007,900/x
  3. Step 3: Cross multiply
    39,719,246,846x = 86,412,007,900 × 86,412,007,900
  4. Step 4: Simplify right side
    39,719,246,846x = 7,467,035,109,309,662,887,936
  5. Step 5: Solve for x
    x = 7,467,035,109,309,662,887,936/39,719,246,846
  6. Step 6: Final answer
    x = 187,995,385,165.81

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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.