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Finding the Third Proportional to 35,775,224 and 77,215,240

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Solution

The third proportional to 35,775,224 and 77,215,240 is: 166,657,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,775,224 : 77,215,240 = 77,215,240 : x
  2. Step 2: Convert to fraction form
    35,775,224/77,215,240 = 77,215,240/x
  3. Step 3: Cross multiply
    35,775,224x = 77,215,240 × 77,215,240
  4. Step 4: Simplify right side
    35,775,224x = 5,962,193,288,257,600
  5. Step 5: Solve for x
    x = 5,962,193,288,257,600/35,775,224
  6. Step 6: Final answer
    x = 166,657,049.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.