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Finding the Third Proportional to 64,568,229,329 and 90,886,673,343

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Solution

The third proportional to 64,568,229,329 and 90,886,673,343 is: 127,932,691,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,568,229,329 : 90,886,673,343 = 90,886,673,343 : x
  2. Step 2: Convert to fraction form
    64,568,229,329/90,886,673,343 = 90,886,673,343/x
  3. Step 3: Cross multiply
    64,568,229,329x = 90,886,673,343 × 90,886,673,343
  4. Step 4: Simplify right side
    64,568,229,329x = 8,260,387,391,357,186,998,272
  5. Step 5: Solve for x
    x = 8,260,387,391,357,186,998,272/64,568,229,329
  6. Step 6: Final answer
    x = 127,932,691,932.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.