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Finding the Third Proportional to 6,452,863.50 and 14,043,696

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Solution

The third proportional to 6,452,863.50 and 14,043,696 is: 30,564,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452,863.50 : 14,043,696 = 14,043,696 : x
  2. Step 2: Convert to fraction form
    6,452,863.50/14,043,696 = 14,043,696/x
  3. Step 3: Cross multiply
    6,452,863.50x = 14,043,696 × 14,043,696
  4. Step 4: Simplify right side
    6,452,863.50x = 197,225,397,340,416
  5. Step 5: Solve for x
    x = 197,225,397,340,416/6,452,863.50
  6. Step 6: Final answer
    x = 30,564,011.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.