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Finding the Third Proportional to 38,566,008,646,970 and 83,267,031,188,620

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Solution

The third proportional to 38,566,008,646,970 and 83,267,031,188,620 is: 179,780,037,556,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,566,008,646,970 : 83,267,031,188,620 = 83,267,031,188,620 : x
  2. Step 2: Convert to fraction form
    38,566,008,646,970/83,267,031,188,620 = 83,267,031,188,620/x
  3. Step 3: Cross multiply
    38,566,008,646,970x = 83,267,031,188,620 × 83,267,031,188,620
  4. Step 4: Simplify right side
    38,566,008,646,970x = 6,933,398,482,966,615,467,722,014,720
  5. Step 5: Solve for x
    x = 6,933,398,482,966,615,467,722,014,720/38,566,008,646,970
  6. Step 6: Final answer
    x = 179,780,037,556,760.47

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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.