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Finding the Third Proportional to 66,874,188 and 135,628,726

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Solution

The third proportional to 66,874,188 and 135,628,726 is: 275,071,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,874,188 : 135,628,726 = 135,628,726 : x
  2. Step 2: Convert to fraction form
    66,874,188/135,628,726 = 135,628,726/x
  3. Step 3: Cross multiply
    66,874,188x = 135,628,726 × 135,628,726
  4. Step 4: Simplify right side
    66,874,188x = 18,395,151,316,383,076
  5. Step 5: Solve for x
    x = 18,395,151,316,383,076/66,874,188
  6. Step 6: Final answer
    x = 275,071,023.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.