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Finding the Third Proportional to 7,838,408.50 and 15,991,743.50

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Solution

The third proportional to 7,838,408.50 and 15,991,743.50 is: 32,625,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838,408.50 : 15,991,743.50 = 15,991,743.50 : x
  2. Step 2: Convert to fraction form
    7,838,408.50/15,991,743.50 = 15,991,743.50/x
  3. Step 3: Cross multiply
    7,838,408.50x = 15,991,743.50 × 15,991,743.50
  4. Step 4: Simplify right side
    7,838,408.50x = 255,735,860,169,792.25
  5. Step 5: Solve for x
    x = 255,735,860,169,792.25/7,838,408.50
  6. Step 6: Final answer
    x = 32,625,992.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.