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Finding the Third Proportional to 2,837,596.50 and 6,227,046

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Solution

The third proportional to 2,837,596.50 and 6,227,046 is: 13,665,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837,596.50 : 6,227,046 = 6,227,046 : x
  2. Step 2: Convert to fraction form
    2,837,596.50/6,227,046 = 6,227,046/x
  3. Step 3: Cross multiply
    2,837,596.50x = 6,227,046 × 6,227,046
  4. Step 4: Simplify right side
    2,837,596.50x = 38,776,101,886,116
  5. Step 5: Solve for x
    x = 38,776,101,886,116/2,837,596.50
  6. Step 6: Final answer
    x = 13,665,121.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.