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Finding the Third Proportional to 5,780,738 and 12,705,861

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Solution

The third proportional to 5,780,738 and 12,705,861 is: 27,927,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780,738 : 12,705,861 = 12,705,861 : x
  2. Step 2: Convert to fraction form
    5,780,738/12,705,861 = 12,705,861/x
  3. Step 3: Cross multiply
    5,780,738x = 12,705,861 × 12,705,861
  4. Step 4: Simplify right side
    5,780,738x = 161,438,903,751,321
  5. Step 5: Solve for x
    x = 161,438,903,751,321/5,780,738
  6. Step 6: Final answer
    x = 27,927,040.41

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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.