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Finding the Third Proportional to 49,567,662 and 107,370,099

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Solution

The third proportional to 49,567,662 and 107,370,099 is: 232,577,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,567,662 : 107,370,099 = 107,370,099 : x
  2. Step 2: Convert to fraction form
    49,567,662/107,370,099 = 107,370,099/x
  3. Step 3: Cross multiply
    49,567,662x = 107,370,099 × 107,370,099
  4. Step 4: Simplify right side
    49,567,662x = 11,528,338,159,269,800
  5. Step 5: Solve for x
    x = 11,528,338,159,269,800/49,567,662
  6. Step 6: Final answer
    x = 232,577,807.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.