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Finding the Third Proportional to 12,856,743 and 27,457,125

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Solution

The third proportional to 12,856,743 and 27,457,125 is: 58,638,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856,743 : 27,457,125 = 27,457,125 : x
  2. Step 2: Convert to fraction form
    12,856,743/27,457,125 = 27,457,125/x
  3. Step 3: Cross multiply
    12,856,743x = 27,457,125 × 27,457,125
  4. Step 4: Simplify right side
    12,856,743x = 753,893,713,265,625
  5. Step 5: Solve for x
    x = 753,893,713,265,625/12,856,743
  6. Step 6: Final answer
    x = 58,638,001.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.