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Finding the Third Proportional to 3,138,494 and 6,653,633

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Solution

The third proportional to 3,138,494 and 6,653,633 is: 14,105,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138,494 : 6,653,633 = 6,653,633 : x
  2. Step 2: Convert to fraction form
    3,138,494/6,653,633 = 6,653,633/x
  3. Step 3: Cross multiply
    3,138,494x = 6,653,633 × 6,653,633
  4. Step 4: Simplify right side
    3,138,494x = 44,270,832,098,689
  5. Step 5: Solve for x
    x = 44,270,832,098,689/3,138,494
  6. Step 6: Final answer
    x = 14,105,756.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.