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Finding the Third Proportional to 4,473,645.75 and 6,840,466.88

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Solution

The third proportional to 4,473,645.75 and 6,840,466.88 is: 10,459,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473,645.75 : 6,840,466.88 = 6,840,466.88 : x
  2. Step 2: Convert to fraction form
    4,473,645.75/6,840,466.88 = 6,840,466.88/x
  3. Step 3: Cross multiply
    4,473,645.75x = 6,840,466.88 × 6,840,466.88
  4. Step 4: Simplify right side
    4,473,645.75x = 46,791,987,067,972.27
  5. Step 5: Solve for x
    x = 46,791,987,067,972.27/4,473,645.75
  6. Step 6: Final answer
    x = 10,459,475.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.