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Finding the Third Proportional to 30,837,726,206 and 41,607,333,367

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Solution

The third proportional to 30,837,726,206 and 41,607,333,367 is: 56,138,062,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837,726,206 : 41,607,333,367 = 41,607,333,367 : x
  2. Step 2: Convert to fraction form
    30,837,726,206/41,607,333,367 = 41,607,333,367/x
  3. Step 3: Cross multiply
    30,837,726,206x = 41,607,333,367 × 41,607,333,367
  4. Step 4: Simplify right side
    30,837,726,206x = 1,731,170,189,912,671,518,720
  5. Step 5: Solve for x
    x = 1,731,170,189,912,671,518,720/30,837,726,206
  6. Step 6: Final answer
    x = 56,138,062,136.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.