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Finding the Third Proportional to 51,103,265,851 and 111,823,886,619

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Solution

The third proportional to 51,103,265,851 and 111,823,886,619 is: 244,692,416,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,103,265,851 : 111,823,886,619 = 111,823,886,619 : x
  2. Step 2: Convert to fraction form
    51,103,265,851/111,823,886,619 = 111,823,886,619/x
  3. Step 3: Cross multiply
    51,103,265,851x = 111,823,886,619 × 111,823,886,619
  4. Step 4: Simplify right side
    51,103,265,851x = 12,504,581,618,578,967,494,656
  5. Step 5: Solve for x
    x = 12,504,581,618,578,967,494,656/51,103,265,851
  6. Step 6: Final answer
    x = 244,692,416,626.33

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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.