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Finding the Third Proportional to 64,568,229,327 and 90,886,673,340

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Solution

The third proportional to 64,568,229,327 and 90,886,673,340 is: 127,932,691,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,568,229,327 : 90,886,673,340 = 90,886,673,340 : x
  2. Step 2: Convert to fraction form
    64,568,229,327/90,886,673,340 = 90,886,673,340/x
  3. Step 3: Cross multiply
    64,568,229,327x = 90,886,673,340 × 90,886,673,340
  4. Step 4: Simplify right side
    64,568,229,327x = 8,260,387,390,811,866,660,864
  5. Step 5: Solve for x
    x = 8,260,387,390,811,866,660,864/64,568,229,327
  6. Step 6: Final answer
    x = 127,932,691,927.76

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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.