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Finding the Third Proportional to 3,135,809 and 6,648,421

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Solution

The third proportional to 3,135,809 and 6,648,421 is: 14,095,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135,809 : 6,648,421 = 6,648,421 : x
  2. Step 2: Convert to fraction form
    3,135,809/6,648,421 = 6,648,421/x
  3. Step 3: Cross multiply
    3,135,809x = 6,648,421 × 6,648,421
  4. Step 4: Simplify right side
    3,135,809x = 44,201,501,793,241
  5. Step 5: Solve for x
    x = 44,201,501,793,241/3,135,809
  6. Step 6: Final answer
    x = 14,095,725.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.