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Finding the Third Proportional to 4,876,321.50 and 7,173,086.63

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Solution

The third proportional to 4,876,321.50 and 7,173,086.63 is: 10,551,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876,321.50 : 7,173,086.63 = 7,173,086.63 : x
  2. Step 2: Convert to fraction form
    4,876,321.50/7,173,086.63 = 7,173,086.63/x
  3. Step 3: Cross multiply
    4,876,321.50x = 7,173,086.63 × 7,173,086.63
  4. Step 4: Simplify right side
    4,876,321.50x = 51,453,171,729,753.89
  5. Step 5: Solve for x
    x = 51,453,171,729,753.89/4,876,321.50
  6. Step 6: Final answer
    x = 10,551,636.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.