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Finding the Third Proportional to 4,709,954.50 and 10,141,607

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Solution

The third proportional to 4,709,954.50 and 10,141,607 is: 21,837,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709,954.50 : 10,141,607 = 10,141,607 : x
  2. Step 2: Convert to fraction form
    4,709,954.50/10,141,607 = 10,141,607/x
  3. Step 3: Cross multiply
    4,709,954.50x = 10,141,607 × 10,141,607
  4. Step 4: Simplify right side
    4,709,954.50x = 102,852,192,542,449
  5. Step 5: Solve for x
    x = 102,852,192,542,449/4,709,954.50
  6. Step 6: Final answer
    x = 21,837,194.51

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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.