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Finding the Third Proportional to 2,895,856.31 and 6,348,063.66

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Solution

The third proportional to 2,895,856.31 and 6,348,063.66 is: 13,915,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895,856.31 : 6,348,063.66 = 6,348,063.66 : x
  2. Step 2: Convert to fraction form
    2,895,856.31/6,348,063.66 = 6,348,063.66/x
  3. Step 3: Cross multiply
    2,895,856.31x = 6,348,063.66 × 6,348,063.66
  4. Step 4: Simplify right side
    2,895,856.31x = 40,297,912,183,802.12
  5. Step 5: Solve for x
    x = 40,297,912,183,802.12/2,895,856.31
  6. Step 6: Final answer
    x = 13,915,715.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.