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Finding the Third Proportional to 48,657,842 and 68,026,644

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Solution

The third proportional to 48,657,842 and 68,026,644 is: 95,105,415.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,657,842 : 68,026,644 = 68,026,644 : x
  2. Step 2: Convert to fraction form
    48,657,842/68,026,644 = 68,026,644/x
  3. Step 3: Cross multiply
    48,657,842x = 68,026,644 × 68,026,644
  4. Step 4: Simplify right side
    48,657,842x = 4,627,624,293,902,736
  5. Step 5: Solve for x
    x = 4,627,624,293,902,736/48,657,842
  6. Step 6: Final answer
    x = 95,105,415.77

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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.