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Finding the Third Proportional to 61,827,104 and 135,598,144

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Solution

The third proportional to 61,827,104 and 135,598,144 is: 297,391,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,827,104 : 135,598,144 = 135,598,144 : x
  2. Step 2: Convert to fraction form
    61,827,104/135,598,144 = 135,598,144/x
  3. Step 3: Cross multiply
    61,827,104x = 135,598,144 × 135,598,144
  4. Step 4: Simplify right side
    61,827,104x = 18,386,856,656,244,736
  5. Step 5: Solve for x
    x = 18,386,856,656,244,736/61,827,104
  6. Step 6: Final answer
    x = 297,391,523.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.