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Finding the Third Proportional to 61,464,293,094 and 137,061,218,832

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Solution

The third proportional to 61,464,293,094 and 137,061,218,832 is: 305,637,253,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,464,293,094 : 137,061,218,832 = 137,061,218,832 : x
  2. Step 2: Convert to fraction form
    61,464,293,094/137,061,218,832 = 137,061,218,832/x
  3. Step 3: Cross multiply
    61,464,293,094x = 137,061,218,832 × 137,061,218,832
  4. Step 4: Simplify right side
    61,464,293,094x = 18,785,777,707,713,390,706,688
  5. Step 5: Solve for x
    x = 18,785,777,707,713,390,706,688/61,464,293,094
  6. Step 6: Final answer
    x = 305,637,253,144.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.