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Finding the Third Proportional to 12,846,172 and 27,822,100

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Solution

The third proportional to 12,846,172 and 27,822,100 is: 60,256,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846,172 : 27,822,100 = 27,822,100 : x
  2. Step 2: Convert to fraction form
    12,846,172/27,822,100 = 27,822,100/x
  3. Step 3: Cross multiply
    12,846,172x = 27,822,100 × 27,822,100
  4. Step 4: Simplify right side
    12,846,172x = 774,069,248,410,000
  5. Step 5: Solve for x
    x = 774,069,248,410,000/12,846,172
  6. Step 6: Final answer
    x = 60,256,802.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.