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Finding the Third Proportional to 3,149,647.50 and 6,745,416

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Solution

The third proportional to 3,149,647.50 and 6,745,416 is: 14,446,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,647.50 : 6,745,416 = 6,745,416 : x
  2. Step 2: Convert to fraction form
    3,149,647.50/6,745,416 = 6,745,416/x
  3. Step 3: Cross multiply
    3,149,647.50x = 6,745,416 × 6,745,416
  4. Step 4: Simplify right side
    3,149,647.50x = 45,500,637,013,056
  5. Step 5: Solve for x
    x = 45,500,637,013,056/3,149,647.50
  6. Step 6: Final answer
    x = 14,446,263.28

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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.