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Finding the Third Proportional to 7,143,614 and 10,731,621

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Solution

The third proportional to 7,143,614 and 10,731,621 is: 16,121,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143,614 : 10,731,621 = 10,731,621 : x
  2. Step 2: Convert to fraction form
    7,143,614/10,731,621 = 10,731,621/x
  3. Step 3: Cross multiply
    7,143,614x = 10,731,621 × 10,731,621
  4. Step 4: Simplify right side
    7,143,614x = 115,167,689,287,641
  5. Step 5: Solve for x
    x = 115,167,689,287,641/7,143,614
  6. Step 6: Final answer
    x = 16,121,768.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.