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Finding the Third Proportional to 5,179,071 and 7,840,575

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Solution

The third proportional to 5,179,071 and 7,840,575 is: 11,869,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179,071 : 7,840,575 = 7,840,575 : x
  2. Step 2: Convert to fraction form
    5,179,071/7,840,575 = 7,840,575/x
  3. Step 3: Cross multiply
    5,179,071x = 7,840,575 × 7,840,575
  4. Step 4: Simplify right side
    5,179,071x = 61,474,616,330,625
  5. Step 5: Solve for x
    x = 61,474,616,330,625/5,179,071
  6. Step 6: Final answer
    x = 11,869,815.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.