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Finding the Third Proportional to 6,097,626 and 13,035,348

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Solution

The third proportional to 6,097,626 and 13,035,348 is: 27,866,631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097,626 : 13,035,348 = 13,035,348 : x
  2. Step 2: Convert to fraction form
    6,097,626/13,035,348 = 13,035,348/x
  3. Step 3: Cross multiply
    6,097,626x = 13,035,348 × 13,035,348
  4. Step 4: Simplify right side
    6,097,626x = 169,920,297,481,104
  5. Step 5: Solve for x
    x = 169,920,297,481,104/6,097,626
  6. Step 6: Final answer
    x = 27,866,631.62

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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.