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Finding the Third Proportional to 126,927,197 and 284,916,922

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Solution

The third proportional to 126,927,197 and 284,916,922 is: 639,560,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,927,197 : 284,916,922 = 284,916,922 : x
  2. Step 2: Convert to fraction form
    126,927,197/284,916,922 = 284,916,922/x
  3. Step 3: Cross multiply
    126,927,197x = 284,916,922 × 284,916,922
  4. Step 4: Simplify right side
    126,927,197x = 81,177,652,441,954,080
  5. Step 5: Solve for x
    x = 81,177,652,441,954,080/126,927,197
  6. Step 6: Final answer
    x = 639,560,743.17

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.