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Finding the Third Proportional to 49,735,336 and 107,028,947

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Solution

The third proportional to 49,735,336 and 107,028,947 is: 230,323,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735,336 : 107,028,947 = 107,028,947 : x
  2. Step 2: Convert to fraction form
    49,735,336/107,028,947 = 107,028,947/x
  3. Step 3: Cross multiply
    49,735,336x = 107,028,947 × 107,028,947
  4. Step 4: Simplify right side
    49,735,336x = 11,455,195,495,928,808
  5. Step 5: Solve for x
    x = 11,455,195,495,928,808/49,735,336
  6. Step 6: Final answer
    x = 230,323,074.44

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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.