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Finding the Third Proportional to 19,373,646,984 and 30,325,048,910

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Solution

The third proportional to 19,373,646,984 and 30,325,048,910 is: 47,466,983,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,373,646,984 : 30,325,048,910 = 30,325,048,910 : x
  2. Step 2: Convert to fraction form
    19,373,646,984/30,325,048,910 = 30,325,048,910/x
  3. Step 3: Cross multiply
    19,373,646,984x = 30,325,048,910 × 30,325,048,910
  4. Step 4: Simplify right side
    19,373,646,984x = 919,608,591,393,892,204,544
  5. Step 5: Solve for x
    x = 919,608,591,393,892,204,544/19,373,646,984
  6. Step 6: Final answer
    x = 47,466,983,999.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.