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Finding the Third Proportional to 2,002,077 and 4,724,087.06

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Solution

The third proportional to 2,002,077 and 4,724,087.06 is: 11,146,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,077 : 4,724,087.06 = 4,724,087.06 : x
  2. Step 2: Convert to fraction form
    2,002,077/4,724,087.06 = 4,724,087.06/x
  3. Step 3: Cross multiply
    2,002,077x = 4,724,087.06 × 4,724,087.06
  4. Step 4: Simplify right side
    2,002,077x = 22,316,998,574,079.88
  5. Step 5: Solve for x
    x = 22,316,998,574,079.88/2,002,077
  6. Step 6: Final answer
    x = 11,146,923.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.