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Finding the Third Proportional to 10,246,345.50 and 22,012,251

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Solution

The third proportional to 10,246,345.50 and 22,012,251 is: 47,288,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246,345.50 : 22,012,251 = 22,012,251 : x
  2. Step 2: Convert to fraction form
    10,246,345.50/22,012,251 = 22,012,251/x
  3. Step 3: Cross multiply
    10,246,345.50x = 22,012,251 × 22,012,251
  4. Step 4: Simplify right side
    10,246,345.50x = 484,539,194,087,001
  5. Step 5: Solve for x
    x = 484,539,194,087,001/10,246,345.50
  6. Step 6: Final answer
    x = 47,288,976.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.