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Finding the Third Proportional to 49,952,780,721 and 107,867,168,367

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Solution

The third proportional to 49,952,780,721 and 107,867,168,367 is: 232,926,492,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,952,780,721 : 107,867,168,367 = 107,867,168,367 : x
  2. Step 2: Convert to fraction form
    49,952,780,721/107,867,168,367 = 107,867,168,367/x
  3. Step 3: Cross multiply
    49,952,780,721x = 107,867,168,367 × 107,867,168,367
  4. Step 4: Simplify right side
    49,952,780,721x = 11,635,326,011,514,726,383,616
  5. Step 5: Solve for x
    x = 11,635,326,011,514,726,383,616/49,952,780,721
  6. Step 6: Final answer
    x = 232,926,492,651.15

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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.