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Finding the Third Proportional to 49,735,316 and 107,028,907

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Solution

The third proportional to 49,735,316 and 107,028,907 is: 230,322,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735,316 : 107,028,907 = 107,028,907 : x
  2. Step 2: Convert to fraction form
    49,735,316/107,028,907 = 107,028,907/x
  3. Step 3: Cross multiply
    49,735,316x = 107,028,907 × 107,028,907
  4. Step 4: Simplify right side
    49,735,316x = 11,455,186,933,614,648
  5. Step 5: Solve for x
    x = 11,455,186,933,614,648/49,735,316
  6. Step 6: Final answer
    x = 230,322,994.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.