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Finding the Third Proportional to 4,923,388.50 and 7,910,563.50

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Solution

The third proportional to 4,923,388.50 and 7,910,563.50 is: 12,710,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923,388.50 : 7,910,563.50 = 7,910,563.50 : x
  2. Step 2: Convert to fraction form
    4,923,388.50/7,910,563.50 = 7,910,563.50/x
  3. Step 3: Cross multiply
    4,923,388.50x = 7,910,563.50 × 7,910,563.50
  4. Step 4: Simplify right side
    4,923,388.50x = 62,577,014,887,532.25
  5. Step 5: Solve for x
    x = 62,577,014,887,532.25/4,923,388.50
  6. Step 6: Final answer
    x = 12,710,151.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.