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Finding the Third Proportional to 4,490,931.75 and 7,035,741

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Solution

The third proportional to 4,490,931.75 and 7,035,741 is: 11,022,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490,931.75 : 7,035,741 = 7,035,741 : x
  2. Step 2: Convert to fraction form
    4,490,931.75/7,035,741 = 7,035,741/x
  3. Step 3: Cross multiply
    4,490,931.75x = 7,035,741 × 7,035,741
  4. Step 4: Simplify right side
    4,490,931.75x = 49,501,651,419,081
  5. Step 5: Solve for x
    x = 49,501,651,419,081/4,490,931.75
  6. Step 6: Final answer
    x = 11,022,579.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.