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Finding the Third Proportional to 10,044,994.22 and 21,802,409.44

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Solution

The third proportional to 10,044,994.22 and 21,802,409.44 is: 47,321,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044,994.22 : 21,802,409.44 = 21,802,409.44 : x
  2. Step 2: Convert to fraction form
    10,044,994.22/21,802,409.44 = 21,802,409.44/x
  3. Step 3: Cross multiply
    10,044,994.22x = 21,802,409.44 × 21,802,409.44
  4. Step 4: Simplify right side
    10,044,994.22x = 475,345,057,280,389.06
  5. Step 5: Solve for x
    x = 475,345,057,280,389.06/10,044,994.22
  6. Step 6: Final answer
    x = 47,321,585.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.