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Finding the Third Proportional to 80,716,778,784 and 188,590,823,280

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Solution

The third proportional to 80,716,778,784 and 188,590,823,280 is: 440,633,275,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,716,778,784 : 188,590,823,280 = 188,590,823,280 : x
  2. Step 2: Convert to fraction form
    80,716,778,784/188,590,823,280 = 188,590,823,280/x
  3. Step 3: Cross multiply
    80,716,778,784x = 188,590,823,280 × 188,590,823,280
  4. Step 4: Simplify right side
    80,716,778,784x = 35,566,498,625,428,190,658,560
  5. Step 5: Solve for x
    x = 35,566,498,625,428,190,658,560/80,716,778,784
  6. Step 6: Final answer
    x = 440,633,275,525.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.