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Finding the Third Proportional to 6,246,930 and 12,667,726.50

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Solution

The third proportional to 6,246,930 and 12,667,726.50 is: 25,688,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246,930 : 12,667,726.50 = 12,667,726.50 : x
  2. Step 2: Convert to fraction form
    6,246,930/12,667,726.50 = 12,667,726.50/x
  3. Step 3: Cross multiply
    6,246,930x = 12,667,726.50 × 12,667,726.50
  4. Step 4: Simplify right side
    6,246,930x = 160,471,294,678,802.25
  5. Step 5: Solve for x
    x = 160,471,294,678,802.25/6,246,930
  6. Step 6: Final answer
    x = 25,688,025.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.