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Finding the Third Proportional to 3,097,992 and 6,710,664

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Solution

The third proportional to 3,097,992 and 6,710,664 is: 14,536,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,992 : 6,710,664 = 6,710,664 : x
  2. Step 2: Convert to fraction form
    3,097,992/6,710,664 = 6,710,664/x
  3. Step 3: Cross multiply
    3,097,992x = 6,710,664 × 6,710,664
  4. Step 4: Simplify right side
    3,097,992x = 45,033,011,320,896
  5. Step 5: Solve for x
    x = 45,033,011,320,896/3,097,992
  6. Step 6: Final answer
    x = 14,536,193.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.