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Finding the Third Proportional to 48,657,845 and 68,026,648

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Solution

The third proportional to 48,657,845 and 68,026,648 is: 95,105,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,657,845 : 68,026,648 = 68,026,648 : x
  2. Step 2: Convert to fraction form
    48,657,845/68,026,648 = 68,026,648/x
  3. Step 3: Cross multiply
    48,657,845x = 68,026,648 × 68,026,648
  4. Step 4: Simplify right side
    48,657,845x = 4,627,624,838,115,904
  5. Step 5: Solve for x
    x = 4,627,624,838,115,904/48,657,845
  6. Step 6: Final answer
    x = 95,105,421.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.