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Finding the Third Proportional to 6,343,634 and 10,214,195

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Solution

The third proportional to 6,343,634 and 10,214,195 is: 16,446,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343,634 : 10,214,195 = 10,214,195 : x
  2. Step 2: Convert to fraction form
    6,343,634/10,214,195 = 10,214,195/x
  3. Step 3: Cross multiply
    6,343,634x = 10,214,195 × 10,214,195
  4. Step 4: Simplify right side
    6,343,634x = 104,329,779,498,025
  5. Step 5: Solve for x
    x = 104,329,779,498,025/6,343,634
  6. Step 6: Final answer
    x = 16,446,374.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.