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Finding the Third Proportional to 3,108,509 and 6,689,407

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Solution

The third proportional to 3,108,509 and 6,689,407 is: 14,395,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108,509 : 6,689,407 = 6,689,407 : x
  2. Step 2: Convert to fraction form
    3,108,509/6,689,407 = 6,689,407/x
  3. Step 3: Cross multiply
    3,108,509x = 6,689,407 × 6,689,407
  4. Step 4: Simplify right side
    3,108,509x = 44,748,166,011,649
  5. Step 5: Solve for x
    x = 44,748,166,011,649/3,108,509
  6. Step 6: Final answer
    x = 14,395,379.27

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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.