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Finding the Third Proportional to 5,749,470 and 8,624,349

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Solution

The third proportional to 5,749,470 and 8,624,349 is: 12,936,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749,470 : 8,624,349 = 8,624,349 : x
  2. Step 2: Convert to fraction form
    5,749,470/8,624,349 = 8,624,349/x
  3. Step 3: Cross multiply
    5,749,470x = 8,624,349 × 8,624,349
  4. Step 4: Simplify right side
    5,749,470x = 74,379,395,673,801
  5. Step 5: Solve for x
    x = 74,379,395,673,801/5,749,470
  6. Step 6: Final answer
    x = 12,936,739.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.