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Finding the Third Proportional to 4,527,650 and 6,849,795

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Solution

The third proportional to 4,527,650 and 6,849,795 is: 10,362,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527,650 : 6,849,795 = 6,849,795 : x
  2. Step 2: Convert to fraction form
    4,527,650/6,849,795 = 6,849,795/x
  3. Step 3: Cross multiply
    4,527,650x = 6,849,795 × 6,849,795
  4. Step 4: Simplify right side
    4,527,650x = 46,919,691,542,025
  5. Step 5: Solve for x
    x = 46,919,691,542,025/4,527,650
  6. Step 6: Final answer
    x = 10,362,923.71

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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.