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Finding the Third Proportional to 6,675,431 and 13,704,746

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Solution

The third proportional to 6,675,431 and 13,704,746 is: 28,136,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675,431 : 13,704,746 = 13,704,746 : x
  2. Step 2: Convert to fraction form
    6,675,431/13,704,746 = 13,704,746/x
  3. Step 3: Cross multiply
    6,675,431x = 13,704,746 × 13,704,746
  4. Step 4: Simplify right side
    6,675,431x = 187,820,062,924,516
  5. Step 5: Solve for x
    x = 187,820,062,924,516/6,675,431
  6. Step 6: Final answer
    x = 28,136,020.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.