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Finding the Third Proportional to 38,182,468,452 and 77,453,662,672

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Solution

The third proportional to 38,182,468,452 and 77,453,662,672 is: 157,115,820,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,182,468,452 : 77,453,662,672 = 77,453,662,672 : x
  2. Step 2: Convert to fraction form
    38,182,468,452/77,453,662,672 = 77,453,662,672/x
  3. Step 3: Cross multiply
    38,182,468,452x = 77,453,662,672 × 77,453,662,672
  4. Step 4: Simplify right side
    38,182,468,452x = 5,999,069,861,307,966,554,112
  5. Step 5: Solve for x
    x = 5,999,069,861,307,966,554,112/38,182,468,452
  6. Step 6: Final answer
    x = 157,115,820,546.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.