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Finding the Third Proportional to 4,098,009 and 6,014,149.50

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Solution

The third proportional to 4,098,009 and 6,014,149.50 is: 8,826,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098,009 : 6,014,149.50 = 6,014,149.50 : x
  2. Step 2: Convert to fraction form
    4,098,009/6,014,149.50 = 6,014,149.50/x
  3. Step 3: Cross multiply
    4,098,009x = 6,014,149.50 × 6,014,149.50
  4. Step 4: Simplify right side
    4,098,009x = 36,169,994,208,350.25
  5. Step 5: Solve for x
    x = 36,169,994,208,350.25/4,098,009
  6. Step 6: Final answer
    x = 8,826,235.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.