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Finding the Third Proportional to 3,221,073.21 and 6,946,511.91

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Solution

The third proportional to 3,221,073.21 and 6,946,511.91 is: 14,980,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221,073.21 : 6,946,511.91 = 6,946,511.91 : x
  2. Step 2: Convert to fraction form
    3,221,073.21/6,946,511.91 = 6,946,511.91/x
  3. Step 3: Cross multiply
    3,221,073.21x = 6,946,511.91 × 6,946,511.91
  4. Step 4: Simplify right side
    3,221,073.21x = 48,254,027,663,673.01
  5. Step 5: Solve for x
    x = 48,254,027,663,673.01/3,221,073.21
  6. Step 6: Final answer
    x = 14,980,729.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.