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Finding the Third Proportional to 12,703,014 and 27,044,656

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Solution

The third proportional to 12,703,014 and 27,044,656 is: 57,577,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703,014 : 27,044,656 = 27,044,656 : x
  2. Step 2: Convert to fraction form
    12,703,014/27,044,656 = 27,044,656/x
  3. Step 3: Cross multiply
    12,703,014x = 27,044,656 × 27,044,656
  4. Step 4: Simplify right side
    12,703,014x = 731,413,418,158,336
  5. Step 5: Solve for x
    x = 731,413,418,158,336/12,703,014
  6. Step 6: Final answer
    x = 57,577,943.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.