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Finding the Third Proportional to 6,531,606 and 13,841,904.75

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Solution

The third proportional to 6,531,606 and 13,841,904.75 is: 29,334,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531,606 : 13,841,904.75 = 13,841,904.75 : x
  2. Step 2: Convert to fraction form
    6,531,606/13,841,904.75 = 13,841,904.75/x
  3. Step 3: Cross multiply
    6,531,606x = 13,841,904.75 × 13,841,904.75
  4. Step 4: Simplify right side
    6,531,606x = 191,598,327,108,072.56
  5. Step 5: Solve for x
    x = 191,598,327,108,072.56/6,531,606
  6. Step 6: Final answer
    x = 29,334,030.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.