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Finding the Third Proportional to 18,578,353,064,181 and 25,831,714,915,776

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Solution

The third proportional to 18,578,353,064,181 and 25,831,714,915,776 is: 35,916,934,788,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578,353,064,181 : 25,831,714,915,776 = 25,831,714,915,776 : x
  2. Step 2: Convert to fraction form
    18,578,353,064,181/25,831,714,915,776 = 25,831,714,915,776/x
  3. Step 3: Cross multiply
    18,578,353,064,181x = 25,831,714,915,776 × 25,831,714,915,776
  4. Step 4: Simplify right side
    18,578,353,064,181x = 667,277,495,489,924,252,137,684,992
  5. Step 5: Solve for x
    x = 667,277,495,489,924,252,137,684,992/18,578,353,064,181
  6. Step 6: Final answer
    x = 35,916,934,788,823.29

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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.