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Finding the Third Proportional to 13,884,022.13 and 29,901,633.19

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Solution

The third proportional to 13,884,022.13 and 29,901,633.19 is: 64,398,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884,022.13 : 29,901,633.19 = 29,901,633.19 : x
  2. Step 2: Convert to fraction form
    13,884,022.13/29,901,633.19 = 29,901,633.19/x
  3. Step 3: Cross multiply
    13,884,022.13x = 29,901,633.19 × 29,901,633.19
  4. Step 4: Simplify right side
    13,884,022.13x = 894,107,667,279,801.38
  5. Step 5: Solve for x
    x = 894,107,667,279,801.38/13,884,022.13
  6. Step 6: Final answer
    x = 64,398,317.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.