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Finding the Third Proportional to 11,809,081.13 and 17,652,142.13

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Solution

The third proportional to 11,809,081.13 and 17,652,142.13 is: 26,386,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809,081.13 : 17,652,142.13 = 17,652,142.13 : x
  2. Step 2: Convert to fraction form
    11,809,081.13/17,652,142.13 = 17,652,142.13/x
  3. Step 3: Cross multiply
    11,809,081.13x = 17,652,142.13 × 17,652,142.13
  4. Step 4: Simplify right side
    11,809,081.13x = 311,598,121,601,199.50
  5. Step 5: Solve for x
    x = 311,598,121,601,199.50/11,809,081.13
  6. Step 6: Final answer
    x = 26,386,313.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.