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Finding the Third Proportional to 12,232,816 and 18,348,036.50

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Solution

The third proportional to 12,232,816 and 18,348,036.50 is: 27,520,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232,816 : 18,348,036.50 = 18,348,036.50 : x
  2. Step 2: Convert to fraction form
    12,232,816/18,348,036.50 = 18,348,036.50/x
  3. Step 3: Cross multiply
    12,232,816x = 18,348,036.50 × 18,348,036.50
  4. Step 4: Simplify right side
    12,232,816x = 336,650,443,405,332.25
  5. Step 5: Solve for x
    x = 336,650,443,405,332.25/12,232,816
  6. Step 6: Final answer
    x = 27,520,273.62

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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.