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Finding the Third Proportional to 2,992,072 and 6,412,796

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Solution

The third proportional to 2,992,072 and 6,412,796 is: 13,744,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992,072 : 6,412,796 = 6,412,796 : x
  2. Step 2: Convert to fraction form
    2,992,072/6,412,796 = 6,412,796/x
  3. Step 3: Cross multiply
    2,992,072x = 6,412,796 × 6,412,796
  4. Step 4: Simplify right side
    2,992,072x = 41,123,952,537,616
  5. Step 5: Solve for x
    x = 41,123,952,537,616/2,992,072
  6. Step 6: Final answer
    x = 13,744,305.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.