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Finding the Third Proportional to 3,196,025 and 6,866,386

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Solution

The third proportional to 3,196,025 and 6,866,386 is: 14,751,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,025 : 6,866,386 = 6,866,386 : x
  2. Step 2: Convert to fraction form
    3,196,025/6,866,386 = 6,866,386/x
  3. Step 3: Cross multiply
    3,196,025x = 6,866,386 × 6,866,386
  4. Step 4: Simplify right side
    3,196,025x = 47,147,256,700,996
  5. Step 5: Solve for x
    x = 47,147,256,700,996/3,196,025
  6. Step 6: Final answer
    x = 14,751,842.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.