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Finding the Third Proportional to 49,196,772 and 107,632,746

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Solution

The third proportional to 49,196,772 and 107,632,746 is: 235,479,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,196,772 : 107,632,746 = 107,632,746 : x
  2. Step 2: Convert to fraction form
    49,196,772/107,632,746 = 107,632,746/x
  3. Step 3: Cross multiply
    49,196,772x = 107,632,746 × 107,632,746
  4. Step 4: Simplify right side
    49,196,772x = 11,584,808,011,500,516
  5. Step 5: Solve for x
    x = 11,584,808,011,500,516/49,196,772
  6. Step 6: Final answer
    x = 235,479,027.19

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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.