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Finding the Third Proportional to 29,688,168 and 65,415,366

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Solution

The third proportional to 29,688,168 and 65,415,366 is: 144,137,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688,168 : 65,415,366 = 65,415,366 : x
  2. Step 2: Convert to fraction form
    29,688,168/65,415,366 = 65,415,366/x
  3. Step 3: Cross multiply
    29,688,168x = 65,415,366 × 65,415,366
  4. Step 4: Simplify right side
    29,688,168x = 4,279,170,108,913,956
  5. Step 5: Solve for x
    x = 4,279,170,108,913,956/29,688,168
  6. Step 6: Final answer
    x = 144,137,223.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.