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Finding the Third Proportional to 8,052,696 and 12,196,261.13

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Solution

The third proportional to 8,052,696 and 12,196,261.13 is: 18,471,923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052,696 : 12,196,261.13 = 12,196,261.13 : x
  2. Step 2: Convert to fraction form
    8,052,696/12,196,261.13 = 12,196,261.13/x
  3. Step 3: Cross multiply
    8,052,696x = 12,196,261.13 × 12,196,261.13
  4. Step 4: Simplify right side
    8,052,696x = 148,748,785,429,186.25
  5. Step 5: Solve for x
    x = 148,748,785,429,186.25/8,052,696
  6. Step 6: Final answer
    x = 18,471,923.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.