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Finding the Third Proportional to 3,035,586 and 6,464,436

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Solution

The third proportional to 3,035,586 and 6,464,436 is: 13,766,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035,586 : 6,464,436 = 6,464,436 : x
  2. Step 2: Convert to fraction form
    3,035,586/6,464,436 = 6,464,436/x
  3. Step 3: Cross multiply
    3,035,586x = 6,464,436 × 6,464,436
  4. Step 4: Simplify right side
    3,035,586x = 41,788,932,798,096
  5. Step 5: Solve for x
    x = 41,788,932,798,096/3,035,586
  6. Step 6: Final answer
    x = 13,766,347.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.