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Finding the Third Proportional to 4,747,048.50 and 10,201,728

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Solution

The third proportional to 4,747,048.50 and 10,201,728 is: 21,924,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747,048.50 : 10,201,728 = 10,201,728 : x
  2. Step 2: Convert to fraction form
    4,747,048.50/10,201,728 = 10,201,728/x
  3. Step 3: Cross multiply
    4,747,048.50x = 10,201,728 × 10,201,728
  4. Step 4: Simplify right side
    4,747,048.50x = 104,075,254,185,984
  5. Step 5: Solve for x
    x = 104,075,254,185,984/4,747,048.50
  6. Step 6: Final answer
    x = 21,924,202.84

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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.