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Finding the Third Proportional to 13,199,774 and 21,003,645

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Solution

The third proportional to 13,199,774 and 21,003,645 is: 33,421,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199,774 : 21,003,645 = 21,003,645 : x
  2. Step 2: Convert to fraction form
    13,199,774/21,003,645 = 21,003,645/x
  3. Step 3: Cross multiply
    13,199,774x = 21,003,645 × 21,003,645
  4. Step 4: Simplify right side
    13,199,774x = 441,153,103,286,025
  5. Step 5: Solve for x
    x = 441,153,103,286,025/13,199,774
  6. Step 6: Final answer
    x = 33,421,261.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.