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Finding the Third Proportional to 5,883,221.15 and 12,711,774.12

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Solution

The third proportional to 5,883,221.15 and 12,711,774.12 is: 27,466,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883,221.15 : 12,711,774.12 = 12,711,774.12 : x
  2. Step 2: Convert to fraction form
    5,883,221.15/12,711,774.12 = 12,711,774.12/x
  3. Step 3: Cross multiply
    5,883,221.15x = 12,711,774.12 × 12,711,774.12
  4. Step 4: Simplify right side
    5,883,221.15x = 161,589,201,169,165.28
  5. Step 5: Solve for x
    x = 161,589,201,169,165.28/5,883,221.15
  6. Step 6: Final answer
    x = 27,466,110.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.