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Finding the Third Proportional to 12,822,848 and 27,076,480

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Solution

The third proportional to 12,822,848 and 27,076,480 is: 57,174,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822,848 : 27,076,480 = 27,076,480 : x
  2. Step 2: Convert to fraction form
    12,822,848/27,076,480 = 27,076,480/x
  3. Step 3: Cross multiply
    12,822,848x = 27,076,480 × 27,076,480
  4. Step 4: Simplify right side
    12,822,848x = 733,135,769,190,400
  5. Step 5: Solve for x
    x = 733,135,769,190,400/12,822,848
  6. Step 6: Final answer
    x = 57,174,176.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.