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Finding the Third Proportional to 3,073,089.25 and 6,638,559.50

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Solution

The third proportional to 3,073,089.25 and 6,638,559.50 is: 14,340,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073,089.25 : 6,638,559.50 = 6,638,559.50 : x
  2. Step 2: Convert to fraction form
    3,073,089.25/6,638,559.50 = 6,638,559.50/x
  3. Step 3: Cross multiply
    3,073,089.25x = 6,638,559.50 × 6,638,559.50
  4. Step 4: Simplify right side
    3,073,089.25x = 44,070,472,235,040.25
  5. Step 5: Solve for x
    x = 44,070,472,235,040.25/3,073,089.25
  6. Step 6: Final answer
    x = 14,340,771.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.