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Finding the Third Proportional to 5,731,749 and 9,203,733

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Solution

The third proportional to 5,731,749 and 9,203,733 is: 14,778,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731,749 : 9,203,733 = 9,203,733 : x
  2. Step 2: Convert to fraction form
    5,731,749/9,203,733 = 9,203,733/x
  3. Step 3: Cross multiply
    5,731,749x = 9,203,733 × 9,203,733
  4. Step 4: Simplify right side
    5,731,749x = 84,708,701,135,289
  5. Step 5: Solve for x
    x = 84,708,701,135,289/5,731,749
  6. Step 6: Final answer
    x = 14,778,857.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.