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Finding the Third Proportional to 13,636,674 and 29,436,564.38

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Solution

The third proportional to 13,636,674 and 29,436,564.38 is: 63,542,717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636,674 : 29,436,564.38 = 29,436,564.38 : x
  2. Step 2: Convert to fraction form
    13,636,674/29,436,564.38 = 29,436,564.38/x
  3. Step 3: Cross multiply
    13,636,674x = 29,436,564.38 × 29,436,564.38
  4. Step 4: Simplify right side
    13,636,674x = 866,511,322,203,519.12
  5. Step 5: Solve for x
    x = 866,511,322,203,519.12/13,636,674
  6. Step 6: Final answer
    x = 63,542,717.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.