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Finding the Third Proportional to 47,682,558 and 102,987,904.50

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Solution

The third proportional to 47,682,558 and 102,987,904.50 is: 222,440,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,682,558 : 102,987,904.50 = 102,987,904.50 : x
  2. Step 2: Convert to fraction form
    47,682,558/102,987,904.50 = 102,987,904.50/x
  3. Step 3: Cross multiply
    47,682,558x = 102,987,904.50 × 102,987,904.50
  4. Step 4: Simplify right side
    47,682,558x = 10,606,508,473,301,120
  5. Step 5: Solve for x
    x = 10,606,508,473,301,120/47,682,558
  6. Step 6: Final answer
    x = 222,440,005.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.