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Finding the Third Proportional to 11,754,503,452 and 25,575,166,136

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Solution

The third proportional to 11,754,503,452 and 25,575,166,136 is: 55,645,831,876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754,503,452 : 25,575,166,136 = 25,575,166,136 : x
  2. Step 2: Convert to fraction form
    11,754,503,452/25,575,166,136 = 25,575,166,136/x
  3. Step 3: Cross multiply
    11,754,503,452x = 25,575,166,136 × 25,575,166,136
  4. Step 4: Simplify right side
    11,754,503,452x = 654,089,122,884,001,202,176
  5. Step 5: Solve for x
    x = 654,089,122,884,001,202,176/11,754,503,452
  6. Step 6: Final answer
    x = 55,645,831,876.69

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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.