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Finding the Third Proportional to 2,940,300 and 6,306,032.25

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Solution

The third proportional to 2,940,300 and 6,306,032.25 is: 13,524,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940,300 : 6,306,032.25 = 6,306,032.25 : x
  2. Step 2: Convert to fraction form
    2,940,300/6,306,032.25 = 6,306,032.25/x
  3. Step 3: Cross multiply
    2,940,300x = 6,306,032.25 × 6,306,032.25
  4. Step 4: Simplify right side
    2,940,300x = 39,766,042,738,040.06
  5. Step 5: Solve for x
    x = 39,766,042,738,040.06/2,940,300
  6. Step 6: Final answer
    x = 13,524,484.83

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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.