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Finding the Third Proportional to 7,589,864 and 16,391,575

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Solution

The third proportional to 7,589,864 and 16,391,575 is: 35,400,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589,864 : 16,391,575 = 16,391,575 : x
  2. Step 2: Convert to fraction form
    7,589,864/16,391,575 = 16,391,575/x
  3. Step 3: Cross multiply
    7,589,864x = 16,391,575 × 16,391,575
  4. Step 4: Simplify right side
    7,589,864x = 268,683,730,980,625
  5. Step 5: Solve for x
    x = 268,683,730,980,625/7,589,864
  6. Step 6: Final answer
    x = 35,400,335.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.