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Finding the Third Proportional to 29,836,821 and 65,220,297

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Solution

The third proportional to 29,836,821 and 65,220,297 is: 142,565,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836,821 : 65,220,297 = 65,220,297 : x
  2. Step 2: Convert to fraction form
    29,836,821/65,220,297 = 65,220,297/x
  3. Step 3: Cross multiply
    29,836,821x = 65,220,297 × 65,220,297
  4. Step 4: Simplify right side
    29,836,821x = 4,253,687,140,768,209
  5. Step 5: Solve for x
    x = 4,253,687,140,768,209/29,836,821
  6. Step 6: Final answer
    x = 142,565,025.30

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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.