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Finding the Third Proportional to 2,220,168 and 4,851,216

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Solution

The third proportional to 2,220,168 and 4,851,216 is: 10,600,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220,168 : 4,851,216 = 4,851,216 : x
  2. Step 2: Convert to fraction form
    2,220,168/4,851,216 = 4,851,216/x
  3. Step 3: Cross multiply
    2,220,168x = 4,851,216 × 4,851,216
  4. Step 4: Simplify right side
    2,220,168x = 23,534,296,678,656
  5. Step 5: Solve for x
    x = 23,534,296,678,656/2,220,168
  6. Step 6: Final answer
    x = 10,600,232.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.