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Finding the Third Proportional to 5,753,577 and 8,735,343

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Solution

The third proportional to 5,753,577 and 8,735,343 is: 13,262,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753,577 : 8,735,343 = 8,735,343 : x
  2. Step 2: Convert to fraction form
    5,753,577/8,735,343 = 8,735,343/x
  3. Step 3: Cross multiply
    5,753,577x = 8,735,343 × 8,735,343
  4. Step 4: Simplify right side
    5,753,577x = 76,306,217,327,649
  5. Step 5: Solve for x
    x = 76,306,217,327,649/5,753,577
  6. Step 6: Final answer
    x = 13,262,396.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.