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Finding the Third Proportional to 5,294,727 and 11,184,318

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Solution

The third proportional to 5,294,727 and 11,184,318 is: 23,625,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294,727 : 11,184,318 = 11,184,318 : x
  2. Step 2: Convert to fraction form
    5,294,727/11,184,318 = 11,184,318/x
  3. Step 3: Cross multiply
    5,294,727x = 11,184,318 × 11,184,318
  4. Step 4: Simplify right side
    5,294,727x = 125,088,969,125,124
  5. Step 5: Solve for x
    x = 125,088,969,125,124/5,294,727
  6. Step 6: Final answer
    x = 23,625,197.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.