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Finding the Third Proportional to 12,232,814 and 18,348,033.50

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Solution

The third proportional to 12,232,814 and 18,348,033.50 is: 27,520,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232,814 : 18,348,033.50 = 18,348,033.50 : x
  2. Step 2: Convert to fraction form
    12,232,814/18,348,033.50 = 18,348,033.50/x
  3. Step 3: Cross multiply
    12,232,814x = 18,348,033.50 × 18,348,033.50
  4. Step 4: Simplify right side
    12,232,814x = 336,650,333,317,122.25
  5. Step 5: Solve for x
    x = 336,650,333,317,122.25/12,232,814
  6. Step 6: Final answer
    x = 27,520,269.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.