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Finding the Third Proportional to 58,624,219,606 and 127,999,408,148

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Solution

The third proportional to 58,624,219,606 and 127,999,408,148 is: 279,472,351,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,624,219,606 : 127,999,408,148 = 127,999,408,148 : x
  2. Step 2: Convert to fraction form
    58,624,219,606/127,999,408,148 = 127,999,408,148/x
  3. Step 3: Cross multiply
    58,624,219,606x = 127,999,408,148 × 127,999,408,148
  4. Step 4: Simplify right side
    58,624,219,606x = 16,383,848,486,238,288,871,424
  5. Step 5: Solve for x
    x = 16,383,848,486,238,288,871,424/58,624,219,606
  6. Step 6: Final answer
    x = 279,472,351,126.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.