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Finding the Third Proportional to 9,836,643 and 20,163,174

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Solution

The third proportional to 9,836,643 and 20,163,174 is: 41,330,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836,643 : 20,163,174 = 20,163,174 : x
  2. Step 2: Convert to fraction form
    9,836,643/20,163,174 = 20,163,174/x
  3. Step 3: Cross multiply
    9,836,643x = 20,163,174 × 20,163,174
  4. Step 4: Simplify right side
    9,836,643x = 406,553,585,754,276
  5. Step 5: Solve for x
    x = 406,553,585,754,276/9,836,643
  6. Step 6: Final answer
    x = 41,330,521.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.