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Finding the Third Proportional to 4,631,943 and 10,206,240

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Solution

The third proportional to 4,631,943 and 10,206,240 is: 22,488,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631,943 : 10,206,240 = 10,206,240 : x
  2. Step 2: Convert to fraction form
    4,631,943/10,206,240 = 10,206,240/x
  3. Step 3: Cross multiply
    4,631,943x = 10,206,240 × 10,206,240
  4. Step 4: Simplify right side
    4,631,943x = 104,167,334,937,600
  5. Step 5: Solve for x
    x = 104,167,334,937,600/4,631,943
  6. Step 6: Final answer
    x = 22,488,906.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.