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Finding the Third Proportional to 6,430,089.75 and 13,744,497

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Solution

The third proportional to 6,430,089.75 and 13,744,497 is: 29,379,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,089.75 : 13,744,497 = 13,744,497 : x
  2. Step 2: Convert to fraction form
    6,430,089.75/13,744,497 = 13,744,497/x
  3. Step 3: Cross multiply
    6,430,089.75x = 13,744,497 × 13,744,497
  4. Step 4: Simplify right side
    6,430,089.75x = 188,911,197,783,009
  5. Step 5: Solve for x
    x = 188,911,197,783,009/6,430,089.75
  6. Step 6: Final answer
    x = 29,379,247.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.