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Finding the Third Proportional to 4,099,848 and 6,364,645.50

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Solution

The third proportional to 4,099,848 and 6,364,645.50 is: 9,880,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,848 : 6,364,645.50 = 6,364,645.50 : x
  2. Step 2: Convert to fraction form
    4,099,848/6,364,645.50 = 6,364,645.50/x
  3. Step 3: Cross multiply
    4,099,848x = 6,364,645.50 × 6,364,645.50
  4. Step 4: Simplify right side
    4,099,848x = 40,508,712,340,670.25
  5. Step 5: Solve for x
    x = 40,508,712,340,670.25/4,099,848
  6. Step 6: Final answer
    x = 9,880,540.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.