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Finding the Third Proportional to 13,464,586.13 and 21,324,114

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Solution

The third proportional to 13,464,586.13 and 21,324,114 is: 33,771,393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464,586.13 : 21,324,114 = 21,324,114 : x
  2. Step 2: Convert to fraction form
    13,464,586.13/21,324,114 = 21,324,114/x
  3. Step 3: Cross multiply
    13,464,586.13x = 21,324,114 × 21,324,114
  4. Step 4: Simplify right side
    13,464,586.13x = 454,717,837,884,996
  5. Step 5: Solve for x
    x = 454,717,837,884,996/13,464,586.13
  6. Step 6: Final answer
    x = 33,771,393.61

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Why These Related Problems?

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