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Finding the Third Proportional to 5,810,830 and 12,667,935

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Solution

The third proportional to 5,810,830 and 12,667,935 is: 27,616,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810,830 : 12,667,935 = 12,667,935 : x
  2. Step 2: Convert to fraction form
    5,810,830/12,667,935 = 12,667,935/x
  3. Step 3: Cross multiply
    5,810,830x = 12,667,935 × 12,667,935
  4. Step 4: Simplify right side
    5,810,830x = 160,476,577,164,225
  5. Step 5: Solve for x
    x = 160,476,577,164,225/5,810,830
  6. Step 6: Final answer
    x = 27,616,808.13

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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.