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Finding the Third Proportional to 49,641,711 and 108,221,724

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Solution

The third proportional to 49,641,711 and 108,221,724 is: 235,929,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,641,711 : 108,221,724 = 108,221,724 : x
  2. Step 2: Convert to fraction form
    49,641,711/108,221,724 = 108,221,724/x
  3. Step 3: Cross multiply
    49,641,711x = 108,221,724 × 108,221,724
  4. Step 4: Simplify right side
    49,641,711x = 11,711,941,545,532,176
  5. Step 5: Solve for x
    x = 11,711,941,545,532,176/49,641,711
  6. Step 6: Final answer
    x = 235,929,449.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.