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Finding the Third Proportional to 5,244,749 and 8,100,043.50

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Solution

The third proportional to 5,244,749 and 8,100,043.50 is: 12,509,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244,749 : 8,100,043.50 = 8,100,043.50 : x
  2. Step 2: Convert to fraction form
    5,244,749/8,100,043.50 = 8,100,043.50/x
  3. Step 3: Cross multiply
    5,244,749x = 8,100,043.50 × 8,100,043.50
  4. Step 4: Simplify right side
    5,244,749x = 65,610,704,701,892.25
  5. Step 5: Solve for x
    x = 65,610,704,701,892.25/5,244,749
  6. Step 6: Final answer
    x = 12,509,789.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.