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Finding the Third Proportional to 6,433,882 and 9,801,575

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Solution

The third proportional to 6,433,882 and 9,801,575 is: 14,932,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433,882 : 9,801,575 = 9,801,575 : x
  2. Step 2: Convert to fraction form
    6,433,882/9,801,575 = 9,801,575/x
  3. Step 3: Cross multiply
    6,433,882x = 9,801,575 × 9,801,575
  4. Step 4: Simplify right side
    6,433,882x = 96,070,872,480,625
  5. Step 5: Solve for x
    x = 96,070,872,480,625/6,433,882
  6. Step 6: Final answer
    x = 14,932,022.76

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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.