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Finding the Third Proportional to 49,567,615 and 107,370,013

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Solution

The third proportional to 49,567,615 and 107,370,013 is: 232,577,655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,567,615 : 107,370,013 = 107,370,013 : x
  2. Step 2: Convert to fraction form
    49,567,615/107,370,013 = 107,370,013/x
  3. Step 3: Cross multiply
    49,567,615x = 107,370,013 × 107,370,013
  4. Step 4: Simplify right side
    49,567,615x = 11,528,319,691,620,168
  5. Step 5: Solve for x
    x = 11,528,319,691,620,168/49,567,615
  6. Step 6: Final answer
    x = 232,577,655.62

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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.