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Finding the Third Proportional to 13,464,576.11 and 21,324,101.77

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Solution

The third proportional to 13,464,576.11 and 21,324,101.77 is: 33,771,379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464,576.11 : 21,324,101.77 = 21,324,101.77 : x
  2. Step 2: Convert to fraction form
    13,464,576.11/21,324,101.77 = 21,324,101.77/x
  3. Step 3: Cross multiply
    13,464,576.11x = 21,324,101.77 × 21,324,101.77
  4. Step 4: Simplify right side
    13,464,576.11x = 454,717,316,110,731.25
  5. Step 5: Solve for x
    x = 454,717,316,110,731.25/13,464,576.11
  6. Step 6: Final answer
    x = 33,771,379.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.