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Finding the Third Proportional to 816,239,514.38 and 1,231,124,079.38

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Solution

The third proportional to 816,239,514.38 and 1,231,124,079.38 is: 1,856,889,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,239,514.38 : 1,231,124,079.38 = 1,231,124,079.38 : x
  2. Step 2: Convert to fraction form
    816,239,514.38/1,231,124,079.38 = 1,231,124,079.38/x
  3. Step 3: Cross multiply
    816,239,514.38x = 1,231,124,079.38 × 1,231,124,079.38
  4. Step 4: Simplify right side
    816,239,514.38x = 1,515,666,498,816,941,312
  5. Step 5: Solve for x
    x = 1,515,666,498,816,941,312/816,239,514.38
  6. Step 6: Final answer
    x = 1,856,889,395.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.