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Finding the Third Proportional to 49,217,951 and 107,714,578

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Solution

The third proportional to 49,217,951 and 107,714,578 is: 235,735,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,217,951 : 107,714,578 = 107,714,578 : x
  2. Step 2: Convert to fraction form
    49,217,951/107,714,578 = 107,714,578/x
  3. Step 3: Cross multiply
    49,217,951x = 107,714,578 × 107,714,578
  4. Step 4: Simplify right side
    49,217,951x = 11,602,430,313,718,084
  5. Step 5: Solve for x
    x = 11,602,430,313,718,084/49,217,951
  6. Step 6: Final answer
    x = 235,735,744.34

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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.