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Finding the Third Proportional to 4,631,931 and 10,206,216

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Solution

The third proportional to 4,631,931 and 10,206,216 is: 22,488,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631,931 : 10,206,216 = 10,206,216 : x
  2. Step 2: Convert to fraction form
    4,631,931/10,206,216 = 10,206,216/x
  3. Step 3: Cross multiply
    4,631,931x = 10,206,216 × 10,206,216
  4. Step 4: Simplify right side
    4,631,931x = 104,166,845,038,656
  5. Step 5: Solve for x
    x = 104,166,845,038,656/4,631,931
  6. Step 6: Final answer
    x = 22,488,859.41

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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.