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Finding the Third Proportional to 6,841,253 and 14,873,297.25

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Solution

The third proportional to 6,841,253 and 14,873,297.25 is: 32,335,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841,253 : 14,873,297.25 = 14,873,297.25 : x
  2. Step 2: Convert to fraction form
    6,841,253/14,873,297.25 = 14,873,297.25/x
  3. Step 3: Cross multiply
    6,841,253x = 14,873,297.25 × 14,873,297.25
  4. Step 4: Simplify right side
    6,841,253x = 221,214,971,086,857.56
  5. Step 5: Solve for x
    x = 221,214,971,086,857.56/6,841,253
  6. Step 6: Final answer
    x = 32,335,446.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.