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Finding the Third Proportional to 61,982,150 and 135,124,576

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Solution

The third proportional to 61,982,150 and 135,124,576 is: 294,579,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,982,150 : 135,124,576 = 135,124,576 : x
  2. Step 2: Convert to fraction form
    61,982,150/135,124,576 = 135,124,576/x
  3. Step 3: Cross multiply
    61,982,150x = 135,124,576 × 135,124,576
  4. Step 4: Simplify right side
    61,982,150x = 18,258,651,039,179,776
  5. Step 5: Solve for x
    x = 18,258,651,039,179,776/61,982,150
  6. Step 6: Final answer
    x = 294,579,181.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.