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Finding the Third Proportional to 61,982,135 and 135,124,546.50

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Solution

The third proportional to 61,982,135 and 135,124,546.50 is: 294,579,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,982,135 : 135,124,546.50 = 135,124,546.50 : x
  2. Step 2: Convert to fraction form
    61,982,135/135,124,546.50 = 135,124,546.50/x
  3. Step 3: Cross multiply
    61,982,135x = 135,124,546.50 × 135,124,546.50
  4. Step 4: Simplify right side
    61,982,135x = 18,258,643,066,830,664
  5. Step 5: Solve for x
    x = 18,258,643,066,830,664/61,982,135
  6. Step 6: Final answer
    x = 294,579,124.56

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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.