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Finding the Third Proportional to 49,217,949 and 107,714,574

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Solution

The third proportional to 49,217,949 and 107,714,574 is: 235,735,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,217,949 : 107,714,574 = 107,714,574 : x
  2. Step 2: Convert to fraction form
    49,217,949/107,714,574 = 107,714,574/x
  3. Step 3: Cross multiply
    49,217,949x = 107,714,574 × 107,714,574
  4. Step 4: Simplify right side
    49,217,949x = 11,602,429,452,001,476
  5. Step 5: Solve for x
    x = 11,602,429,452,001,476/49,217,949
  6. Step 6: Final answer
    x = 235,735,736.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.