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Finding the Third Proportional to 27,239,720,237 and 38,342,813,234

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Solution

The third proportional to 27,239,720,237 and 38,342,813,234 is: 53,971,601,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,239,720,237 : 38,342,813,234 = 38,342,813,234 : x
  2. Step 2: Convert to fraction form
    27,239,720,237/38,342,813,234 = 38,342,813,234/x
  3. Step 3: Cross multiply
    27,239,720,237x = 38,342,813,234 × 38,342,813,234
  4. Step 4: Simplify right side
    27,239,720,237x = 1,470,171,326,697,405,415,424
  5. Step 5: Solve for x
    x = 1,470,171,326,697,405,415,424/27,239,720,237
  6. Step 6: Final answer
    x = 53,971,601,540.18

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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.