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Finding the Third Proportional to 3,414,973.50 and 7,272,374.06

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Solution

The third proportional to 3,414,973.50 and 7,272,374.06 is: 15,486,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,973.50 : 7,272,374.06 = 7,272,374.06 : x
  2. Step 2: Convert to fraction form
    3,414,973.50/7,272,374.06 = 7,272,374.06/x
  3. Step 3: Cross multiply
    3,414,973.50x = 7,272,374.06 × 7,272,374.06
  4. Step 4: Simplify right side
    3,414,973.50x = 52,887,424,504,922.75
  5. Step 5: Solve for x
    x = 52,887,424,504,922.75/3,414,973.50
  6. Step 6: Final answer
    x = 15,486,920.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.