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Finding the Third Proportional to 10,198,878.75 and 22,012,889.06

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Solution

The third proportional to 10,198,878.75 and 22,012,889.06 is: 47,511,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198,878.75 : 22,012,889.06 = 22,012,889.06 : x
  2. Step 2: Convert to fraction form
    10,198,878.75/22,012,889.06 = 22,012,889.06/x
  3. Step 3: Cross multiply
    10,198,878.75x = 22,012,889.06 × 22,012,889.06
  4. Step 4: Simplify right side
    10,198,878.75x = 484,567,284,877,932.12
  5. Step 5: Solve for x
    x = 484,567,284,877,932.12/10,198,878.75
  6. Step 6: Final answer
    x = 47,511,819.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.