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Finding the Third Proportional to 3,145,824 and 6,880,392

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Solution

The third proportional to 3,145,824 and 6,880,392 is: 15,048,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145,824 : 6,880,392 = 6,880,392 : x
  2. Step 2: Convert to fraction form
    3,145,824/6,880,392 = 6,880,392/x
  3. Step 3: Cross multiply
    3,145,824x = 6,880,392 × 6,880,392
  4. Step 4: Simplify right side
    3,145,824x = 47,339,794,073,664
  5. Step 5: Solve for x
    x = 47,339,794,073,664/3,145,824
  6. Step 6: Final answer
    x = 15,048,456.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.