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Finding the Third Proportional to 8,194,942.13 and 12,026,652.19

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Solution

The third proportional to 8,194,942.13 and 12,026,652.19 is: 17,649,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194,942.13 : 12,026,652.19 = 12,026,652.19 : x
  2. Step 2: Convert to fraction form
    8,194,942.13/12,026,652.19 = 12,026,652.19/x
  3. Step 3: Cross multiply
    8,194,942.13x = 12,026,652.19 × 12,026,652.19
  4. Step 4: Simplify right side
    8,194,942.13x = 144,640,362,839,098.53
  5. Step 5: Solve for x
    x = 144,640,362,839,098.53/8,194,942.13
  6. Step 6: Final answer
    x = 17,649,955.38

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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.