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Finding the Third Proportional to 9,982,838 and 21,478,834

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Solution

The third proportional to 9,982,838 and 21,478,834 is: 46,213,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,838 : 21,478,834 = 21,478,834 : x
  2. Step 2: Convert to fraction form
    9,982,838/21,478,834 = 21,478,834/x
  3. Step 3: Cross multiply
    9,982,838x = 21,478,834 × 21,478,834
  4. Step 4: Simplify right side
    9,982,838x = 461,340,309,999,556
  5. Step 5: Solve for x
    x = 461,340,309,999,556/9,982,838
  6. Step 6: Final answer
    x = 46,213,342.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.