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Finding the Third Proportional to 35,469,824 and 76,409,334

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Solution

The third proportional to 35,469,824 and 76,409,334 is: 164,601,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,469,824 : 76,409,334 = 76,409,334 : x
  2. Step 2: Convert to fraction form
    35,469,824/76,409,334 = 76,409,334/x
  3. Step 3: Cross multiply
    35,469,824x = 76,409,334 × 76,409,334
  4. Step 4: Simplify right side
    35,469,824x = 5,838,386,322,323,556
  5. Step 5: Solve for x
    x = 5,838,386,322,323,556/35,469,824
  6. Step 6: Final answer
    x = 164,601,502.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.