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Finding the Third Proportional to 13,575,800 and 29,689,567

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Solution

The third proportional to 13,575,800 and 29,689,567 is: 64,929,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575,800 : 29,689,567 = 29,689,567 : x
  2. Step 2: Convert to fraction form
    13,575,800/29,689,567 = 29,689,567/x
  3. Step 3: Cross multiply
    13,575,800x = 29,689,567 × 29,689,567
  4. Step 4: Simplify right side
    13,575,800x = 881,470,388,647,489
  5. Step 5: Solve for x
    x = 881,470,388,647,489/13,575,800
  6. Step 6: Final answer
    x = 64,929,535.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.