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Finding the Third Proportional to 5,820,822 and 12,244,972.50

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Solution

The third proportional to 5,820,822 and 12,244,972.50 is: 25,759,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820,822 : 12,244,972.50 = 12,244,972.50 : x
  2. Step 2: Convert to fraction form
    5,820,822/12,244,972.50 = 12,244,972.50/x
  3. Step 3: Cross multiply
    5,820,822x = 12,244,972.50 × 12,244,972.50
  4. Step 4: Simplify right side
    5,820,822x = 149,939,351,525,756.25
  5. Step 5: Solve for x
    x = 149,939,351,525,756.25/5,820,822
  6. Step 6: Final answer
    x = 25,759,137.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.