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Finding the Third Proportional to 6,097,624 and 13,035,344

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Solution

The third proportional to 6,097,624 and 13,035,344 is: 27,866,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097,624 : 13,035,344 = 13,035,344 : x
  2. Step 2: Convert to fraction form
    6,097,624/13,035,344 = 13,035,344/x
  3. Step 3: Cross multiply
    6,097,624x = 13,035,344 × 13,035,344
  4. Step 4: Simplify right side
    6,097,624x = 169,920,193,198,336
  5. Step 5: Solve for x
    x = 169,920,193,198,336/6,097,624
  6. Step 6: Final answer
    x = 27,866,623.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.