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Finding the Third Proportional to 12,936,414 and 26,252,971

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Solution

The third proportional to 12,936,414 and 26,252,971 is: 53,277,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,936,414 : 26,252,971 = 26,252,971 : x
  2. Step 2: Convert to fraction form
    12,936,414/26,252,971 = 26,252,971/x
  3. Step 3: Cross multiply
    12,936,414x = 26,252,971 × 26,252,971
  4. Step 4: Simplify right side
    12,936,414x = 689,218,486,326,841
  5. Step 5: Solve for x
    x = 689,218,486,326,841/12,936,414
  6. Step 6: Final answer
    x = 53,277,398.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.