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Finding the Third Proportional to 12,309,029 and 28,493,199

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Solution

The third proportional to 12,309,029 and 28,493,199 is: 65,956,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309,029 : 28,493,199 = 28,493,199 : x
  2. Step 2: Convert to fraction form
    12,309,029/28,493,199 = 28,493,199/x
  3. Step 3: Cross multiply
    12,309,029x = 28,493,199 × 28,493,199
  4. Step 4: Simplify right side
    12,309,029x = 811,862,389,253,601
  5. Step 5: Solve for x
    x = 811,862,389,253,601/12,309,029
  6. Step 6: Final answer
    x = 65,956,655.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.