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Finding the Third Proportional to 18,578,353,064,250 and 25,831,714,915,863

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Solution

The third proportional to 18,578,353,064,250 and 25,831,714,915,863 is: 35,916,934,788,931.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578,353,064,250 : 25,831,714,915,863 = 25,831,714,915,863 : x
  2. Step 2: Convert to fraction form
    18,578,353,064,250/25,831,714,915,863 = 25,831,714,915,863/x
  3. Step 3: Cross multiply
    18,578,353,064,250x = 25,831,714,915,863 × 25,831,714,915,863
  4. Step 4: Simplify right side
    18,578,353,064,250x = 667,277,495,494,419,055,672,033,280
  5. Step 5: Solve for x
    x = 667,277,495,494,419,055,672,033,280/18,578,353,064,250
  6. Step 6: Final answer
    x = 35,916,934,788,931.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.