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Finding the Third Proportional to 3,086,064 and 6,782,994

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Solution

The third proportional to 3,086,064 and 6,782,994 is: 14,908,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086,064 : 6,782,994 = 6,782,994 : x
  2. Step 2: Convert to fraction form
    3,086,064/6,782,994 = 6,782,994/x
  3. Step 3: Cross multiply
    3,086,064x = 6,782,994 × 6,782,994
  4. Step 4: Simplify right side
    3,086,064x = 46,009,007,604,036
  5. Step 5: Solve for x
    x = 46,009,007,604,036/3,086,064
  6. Step 6: Final answer
    x = 14,908,636.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.