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Finding the Third Proportional to 4,448,149 and 9,711,929

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Solution

The third proportional to 4,448,149 and 9,711,929 is: 21,204,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448,149 : 9,711,929 = 9,711,929 : x
  2. Step 2: Convert to fraction form
    4,448,149/9,711,929 = 9,711,929/x
  3. Step 3: Cross multiply
    4,448,149x = 9,711,929 × 9,711,929
  4. Step 4: Simplify right side
    4,448,149x = 94,321,564,901,041
  5. Step 5: Solve for x
    x = 94,321,564,901,041/4,448,149
  6. Step 6: Final answer
    x = 21,204,677.47

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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.