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Finding the Third Proportional to 51,103,265,852 and 111,823,886,624

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Solution

The third proportional to 51,103,265,852 and 111,823,886,624 is: 244,692,416,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,103,265,852 : 111,823,886,624 = 111,823,886,624 : x
  2. Step 2: Convert to fraction form
    51,103,265,852/111,823,886,624 = 111,823,886,624/x
  3. Step 3: Cross multiply
    51,103,265,852x = 111,823,886,624 × 111,823,886,624
  4. Step 4: Simplify right side
    51,103,265,852x = 12,504,581,619,697,206,689,792
  5. Step 5: Solve for x
    x = 12,504,581,619,697,206,689,792/51,103,265,852
  6. Step 6: Final answer
    x = 244,692,416,643.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.