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Finding the Third Proportional to 7,143,651 and 15,674,645.63

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Solution

The third proportional to 7,143,651 and 15,674,645.63 is: 34,393,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143,651 : 15,674,645.63 = 15,674,645.63 : x
  2. Step 2: Convert to fraction form
    7,143,651/15,674,645.63 = 15,674,645.63/x
  3. Step 3: Cross multiply
    7,143,651x = 15,674,645.63 × 15,674,645.63
  4. Step 4: Simplify right side
    7,143,651x = 245,694,515,469,331.62
  5. Step 5: Solve for x
    x = 245,694,515,469,331.62/7,143,651
  6. Step 6: Final answer
    x = 34,393,409.68

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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.