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Finding the Third Proportional to 4,757,850 and 7,115,989.50

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Solution

The third proportional to 4,757,850 and 7,115,989.50 is: 10,642,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757,850 : 7,115,989.50 = 7,115,989.50 : x
  2. Step 2: Convert to fraction form
    4,757,850/7,115,989.50 = 7,115,989.50/x
  3. Step 3: Cross multiply
    4,757,850x = 7,115,989.50 × 7,115,989.50
  4. Step 4: Simplify right side
    4,757,850x = 50,637,306,564,110.25
  5. Step 5: Solve for x
    x = 50,637,306,564,110.25/4,757,850
  6. Step 6: Final answer
    x = 10,642,896.81

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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.