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Finding the Third Proportional to 11,568,952,368 and 16,291,634,233

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Solution

The third proportional to 11,568,952,368 and 16,291,634,233 is: 22,942,210,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568,952,368 : 16,291,634,233 = 16,291,634,233 : x
  2. Step 2: Convert to fraction form
    11,568,952,368/16,291,634,233 = 16,291,634,233/x
  3. Step 3: Cross multiply
    11,568,952,368x = 16,291,634,233 × 16,291,634,233
  4. Step 4: Simplify right side
    11,568,952,368x = 265,417,345,981,857,497,088
  5. Step 5: Solve for x
    x = 265,417,345,981,857,497,088/11,568,952,368
  6. Step 6: Final answer
    x = 22,942,210,974.61

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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.