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Finding the Third Proportional to 29,836,801 and 65,220,259

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Solution

The third proportional to 29,836,801 and 65,220,259 is: 142,564,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836,801 : 65,220,259 = 65,220,259 : x
  2. Step 2: Convert to fraction form
    29,836,801/65,220,259 = 65,220,259/x
  3. Step 3: Cross multiply
    29,836,801x = 65,220,259 × 65,220,259
  4. Step 4: Simplify right side
    29,836,801x = 4,253,682,184,027,081
  5. Step 5: Solve for x
    x = 4,253,682,184,027,081/29,836,801
  6. Step 6: Final answer
    x = 142,564,954.74

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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.