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Finding the Third Proportional to 3,484,976 and 7,549,149

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Solution

The third proportional to 3,484,976 and 7,549,149 is: 16,352,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484,976 : 7,549,149 = 7,549,149 : x
  2. Step 2: Convert to fraction form
    3,484,976/7,549,149 = 7,549,149/x
  3. Step 3: Cross multiply
    3,484,976x = 7,549,149 × 7,549,149
  4. Step 4: Simplify right side
    3,484,976x = 56,989,650,624,201
  5. Step 5: Solve for x
    x = 56,989,650,624,201/3,484,976
  6. Step 6: Final answer
    x = 16,352,953.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.