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Finding the Third Proportional to 4,591,518,414,378 and 9,864,432,940,692

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Solution

The third proportional to 4,591,518,414,378 and 9,864,432,940,692 is: 21,192,779,481,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591,518,414,378 : 9,864,432,940,692 = 9,864,432,940,692 : x
  2. Step 2: Convert to fraction form
    4,591,518,414,378/9,864,432,940,692 = 9,864,432,940,692/x
  3. Step 3: Cross multiply
    4,591,518,414,378x = 9,864,432,940,692 × 9,864,432,940,692
  4. Step 4: Simplify right side
    4,591,518,414,378x = 97,307,037,241,409,412,200,923,136
  5. Step 5: Solve for x
    x = 97,307,037,241,409,412,200,923,136/4,591,518,414,378
  6. Step 6: Final answer
    x = 21,192,779,481,554.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.