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Finding the Third Proportional to 61,667,224 and 137,122,264

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Solution

The third proportional to 61,667,224 and 137,122,264 is: 304,902,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,667,224 : 137,122,264 = 137,122,264 : x
  2. Step 2: Convert to fraction form
    61,667,224/137,122,264 = 137,122,264/x
  3. Step 3: Cross multiply
    61,667,224x = 137,122,264 × 137,122,264
  4. Step 4: Simplify right side
    61,667,224x = 18,802,515,284,485,696
  5. Step 5: Solve for x
    x = 18,802,515,284,485,696/61,667,224
  6. Step 6: Final answer
    x = 304,902,897.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.