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Finding the Third Proportional to 6,933,172 and 15,459,575

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Solution

The third proportional to 6,933,172 and 15,459,575 is: 34,471,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933,172 : 15,459,575 = 15,459,575 : x
  2. Step 2: Convert to fraction form
    6,933,172/15,459,575 = 15,459,575/x
  3. Step 3: Cross multiply
    6,933,172x = 15,459,575 × 15,459,575
  4. Step 4: Simplify right side
    6,933,172x = 238,998,459,180,625
  5. Step 5: Solve for x
    x = 238,998,459,180,625/6,933,172
  6. Step 6: Final answer
    x = 34,471,733.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.