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Finding the Third Proportional to 44,342,205,884 and 91,827,532,024

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Solution

The third proportional to 44,342,205,884 and 91,827,532,024 is: 190,164,099,180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,342,205,884 : 91,827,532,024 = 91,827,532,024 : x
  2. Step 2: Convert to fraction form
    44,342,205,884/91,827,532,024 = 91,827,532,024/x
  3. Step 3: Cross multiply
    44,342,205,884x = 91,827,532,024 × 91,827,532,024
  4. Step 4: Simplify right side
    44,342,205,884x = 8,432,295,637,618,745,409,536
  5. Step 5: Solve for x
    x = 8,432,295,637,618,745,409,536/44,342,205,884
  6. Step 6: Final answer
    x = 190,164,099,180.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.