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Finding the Third Proportional to 12,822,882 and 27,076,548

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Solution

The third proportional to 12,822,882 and 27,076,548 is: 57,174,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822,882 : 27,076,548 = 27,076,548 : x
  2. Step 2: Convert to fraction form
    12,822,882/27,076,548 = 27,076,548/x
  3. Step 3: Cross multiply
    12,822,882x = 27,076,548 × 27,076,548
  4. Step 4: Simplify right side
    12,822,882x = 733,139,451,596,304
  5. Step 5: Solve for x
    x = 733,139,451,596,304/12,822,882
  6. Step 6: Final answer
    x = 57,174,311.64

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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.