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Finding the Third Proportional to 9,725,505 and 21,163,458

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Solution

The third proportional to 9,725,505 and 21,163,458 is: 46,053,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725,505 : 21,163,458 = 21,163,458 : x
  2. Step 2: Convert to fraction form
    9,725,505/21,163,458 = 21,163,458/x
  3. Step 3: Cross multiply
    9,725,505x = 21,163,458 × 21,163,458
  4. Step 4: Simplify right side
    9,725,505x = 447,891,954,517,764
  5. Step 5: Solve for x
    x = 447,891,954,517,764/9,725,505
  6. Step 6: Final answer
    x = 46,053,336.51

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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.