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Finding the Third Proportional to 8,195,803.25 and 12,027,984.25

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Solution

The third proportional to 8,195,803.25 and 12,027,984.25 is: 17,652,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195,803.25 : 12,027,984.25 = 12,027,984.25 : x
  2. Step 2: Convert to fraction form
    8,195,803.25/12,027,984.25 = 12,027,984.25/x
  3. Step 3: Cross multiply
    8,195,803.25x = 12,027,984.25 × 12,027,984.25
  4. Step 4: Simplify right side
    8,195,803.25x = 144,672,405,118,248.06
  5. Step 5: Solve for x
    x = 144,672,405,118,248.06/8,195,803.25
  6. Step 6: Final answer
    x = 17,652,010.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.