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Finding the Third Proportional to 11,605,059 and 27,298,039.50

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Solution

The third proportional to 11,605,059 and 27,298,039.50 is: 64,211,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605,059 : 27,298,039.50 = 27,298,039.50 : x
  2. Step 2: Convert to fraction form
    11,605,059/27,298,039.50 = 27,298,039.50/x
  3. Step 3: Cross multiply
    11,605,059x = 27,298,039.50 × 27,298,039.50
  4. Step 4: Simplify right side
    11,605,059x = 745,182,960,543,560.25
  5. Step 5: Solve for x
    x = 745,182,960,543,560.25/11,605,059
  6. Step 6: Final answer
    x = 64,211,906.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.