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Finding the Third Proportional to 3,071,484.75 and 6,665,063.25

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Solution

The third proportional to 3,071,484.75 and 6,665,063.25 is: 14,463,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071,484.75 : 6,665,063.25 = 6,665,063.25 : x
  2. Step 2: Convert to fraction form
    3,071,484.75/6,665,063.25 = 6,665,063.25/x
  3. Step 3: Cross multiply
    3,071,484.75x = 6,665,063.25 × 6,665,063.25
  4. Step 4: Simplify right side
    3,071,484.75x = 44,423,068,126,500.56
  5. Step 5: Solve for x
    x = 44,423,068,126,500.56/3,071,484.75
  6. Step 6: Final answer
    x = 14,463,059.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.