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Finding the Third Proportional to 30,837,726,211 and 41,607,333,373

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Solution

The third proportional to 30,837,726,211 and 41,607,333,373 is: 56,138,062,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837,726,211 : 41,607,333,373 = 41,607,333,373 : x
  2. Step 2: Convert to fraction form
    30,837,726,211/41,607,333,373 = 41,607,333,373/x
  3. Step 3: Cross multiply
    30,837,726,211x = 41,607,333,373 × 41,607,333,373
  4. Step 4: Simplify right side
    30,837,726,211x = 1,731,170,190,411,959,631,872
  5. Step 5: Solve for x
    x = 1,731,170,190,411,959,631,872/30,837,726,211
  6. Step 6: Final answer
    x = 56,138,062,143.97

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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.