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Finding the Third Proportional to 25,294,743,224 and 56,245,029,878

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Solution

The third proportional to 25,294,743,224 and 56,245,029,878 is: 125,065,645,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294,743,224 : 56,245,029,878 = 56,245,029,878 : x
  2. Step 2: Convert to fraction form
    25,294,743,224/56,245,029,878 = 56,245,029,878/x
  3. Step 3: Cross multiply
    25,294,743,224x = 56,245,029,878 × 56,245,029,878
  4. Step 4: Simplify right side
    25,294,743,224x = 3,163,503,385,977,112,494,080
  5. Step 5: Solve for x
    x = 3,163,503,385,977,112,494,080/25,294,743,224
  6. Step 6: Final answer
    x = 125,065,645,377.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.