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Finding the Third Proportional to 4,448,041.31 and 9,711,696.94

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Solution

The third proportional to 4,448,041.31 and 9,711,696.94 is: 21,204,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448,041.31 : 9,711,696.94 = 9,711,696.94 : x
  2. Step 2: Convert to fraction form
    4,448,041.31/9,711,696.94 = 9,711,696.94/x
  3. Step 3: Cross multiply
    4,448,041.31x = 9,711,696.94 × 9,711,696.94
  4. Step 4: Simplify right side
    4,448,041.31x = 94,317,057,405,846.88
  5. Step 5: Solve for x
    x = 94,317,057,405,846.88/4,448,041.31
  6. Step 6: Final answer
    x = 21,204,177.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.