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Finding the Third Proportional to 61,982,146 and 135,124,570

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Solution

The third proportional to 61,982,146 and 135,124,570 is: 294,579,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,982,146 : 135,124,570 = 135,124,570 : x
  2. Step 2: Convert to fraction form
    61,982,146/135,124,570 = 135,124,570/x
  3. Step 3: Cross multiply
    61,982,146x = 135,124,570 × 135,124,570
  4. Step 4: Simplify right side
    61,982,146x = 18,258,649,417,684,900
  5. Step 5: Solve for x
    x = 18,258,649,417,684,900/61,982,146
  6. Step 6: Final answer
    x = 294,579,174.75

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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.