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Finding the Third Proportional to 22,518,324 and 49,165,764.75

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Solution

The third proportional to 22,518,324 and 49,165,764.75 is: 107,346,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518,324 : 49,165,764.75 = 49,165,764.75 : x
  2. Step 2: Convert to fraction form
    22,518,324/49,165,764.75 = 49,165,764.75/x
  3. Step 3: Cross multiply
    22,518,324x = 49,165,764.75 × 49,165,764.75
  4. Step 4: Simplify right side
    22,518,324x = 2,417,272,423,452,342.50
  5. Step 5: Solve for x
    x = 2,417,272,423,452,342.50/22,518,324
  6. Step 6: Final answer
    x = 107,346,906.61

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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.