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Finding the Third Proportional to 6,658,989.75 and 14,328,616.50

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Solution

The third proportional to 6,658,989.75 and 14,328,616.50 is: 30,831,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658,989.75 : 14,328,616.50 = 14,328,616.50 : x
  2. Step 2: Convert to fraction form
    6,658,989.75/14,328,616.50 = 14,328,616.50/x
  3. Step 3: Cross multiply
    6,658,989.75x = 14,328,616.50 × 14,328,616.50
  4. Step 4: Simplify right side
    6,658,989.75x = 205,309,250,804,072.25
  5. Step 5: Solve for x
    x = 205,309,250,804,072.25/6,658,989.75
  6. Step 6: Final answer
    x = 30,831,891.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.