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Finding the Third Proportional to 4,713,571 and 10,124,704

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Solution

The third proportional to 4,713,571 and 10,124,704 is: 21,747,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713,571 : 10,124,704 = 10,124,704 : x
  2. Step 2: Convert to fraction form
    4,713,571/10,124,704 = 10,124,704/x
  3. Step 3: Cross multiply
    4,713,571x = 10,124,704 × 10,124,704
  4. Step 4: Simplify right side
    4,713,571x = 102,509,631,087,616
  5. Step 5: Solve for x
    x = 102,509,631,087,616/4,713,571
  6. Step 6: Final answer
    x = 21,747,764.29

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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.