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Finding the Third Proportional to 4,750,278 and 7,166,025

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Solution

The third proportional to 4,750,278 and 7,166,025 is: 10,810,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750,278 : 7,166,025 = 7,166,025 : x
  2. Step 2: Convert to fraction form
    4,750,278/7,166,025 = 7,166,025/x
  3. Step 3: Cross multiply
    4,750,278x = 7,166,025 × 7,166,025
  4. Step 4: Simplify right side
    4,750,278x = 51,351,914,300,625
  5. Step 5: Solve for x
    x = 51,351,914,300,625/4,750,278
  6. Step 6: Final answer
    x = 10,810,296.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.