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Finding the Third Proportional to 5,679,072 and 12,406,176

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Solution

The third proportional to 5,679,072 and 12,406,176 is: 27,101,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679,072 : 12,406,176 = 12,406,176 : x
  2. Step 2: Convert to fraction form
    5,679,072/12,406,176 = 12,406,176/x
  3. Step 3: Cross multiply
    5,679,072x = 12,406,176 × 12,406,176
  4. Step 4: Simplify right side
    5,679,072x = 153,913,202,942,976
  5. Step 5: Solve for x
    x = 153,913,202,942,976/5,679,072
  6. Step 6: Final answer
    x = 27,101,822.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.