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Finding the Third Proportional to 2,952,291.50 and 6,394,255

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Solution

The third proportional to 2,952,291.50 and 6,394,255 is: 13,849,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952,291.50 : 6,394,255 = 6,394,255 : x
  2. Step 2: Convert to fraction form
    2,952,291.50/6,394,255 = 6,394,255/x
  3. Step 3: Cross multiply
    2,952,291.50x = 6,394,255 × 6,394,255
  4. Step 4: Simplify right side
    2,952,291.50x = 40,886,497,005,025
  5. Step 5: Solve for x
    x = 40,886,497,005,025/2,952,291.50
  6. Step 6: Final answer
    x = 13,849,071.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.