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Finding the Third Proportional to 29,448,284 and 64,738,267

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Solution

The third proportional to 29,448,284 and 64,738,267 is: 142,318,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,448,284 : 64,738,267 = 64,738,267 : x
  2. Step 2: Convert to fraction form
    29,448,284/64,738,267 = 64,738,267/x
  3. Step 3: Cross multiply
    29,448,284x = 64,738,267 × 64,738,267
  4. Step 4: Simplify right side
    29,448,284x = 4,191,043,214,163,289
  5. Step 5: Solve for x
    x = 4,191,043,214,163,289/29,448,284
  6. Step 6: Final answer
    x = 142,318,758.34

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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.