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Finding the Third Proportional to 3,148,311 and 6,674,963

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Solution

The third proportional to 3,148,311 and 6,674,963 is: 14,152,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,311 : 6,674,963 = 6,674,963 : x
  2. Step 2: Convert to fraction form
    3,148,311/6,674,963 = 6,674,963/x
  3. Step 3: Cross multiply
    3,148,311x = 6,674,963 × 6,674,963
  4. Step 4: Simplify right side
    3,148,311x = 44,555,131,051,369
  5. Step 5: Solve for x
    x = 44,555,131,051,369/3,148,311
  6. Step 6: Final answer
    x = 14,152,074.26

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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.