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Finding the Third Proportional to 3,937,794.75 and 6,430,023

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Solution

The third proportional to 3,937,794.75 and 6,430,023 is: 10,499,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937,794.75 : 6,430,023 = 6,430,023 : x
  2. Step 2: Convert to fraction form
    3,937,794.75/6,430,023 = 6,430,023/x
  3. Step 3: Cross multiply
    3,937,794.75x = 6,430,023 × 6,430,023
  4. Step 4: Simplify right side
    3,937,794.75x = 41,345,195,780,529
  5. Step 5: Solve for x
    x = 41,345,195,780,529/3,937,794.75
  6. Step 6: Final answer
    x = 10,499,581.21

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.