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Finding the Third Proportional to 3,854,274,470,324 and 5,831,064,080,364

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Solution

The third proportional to 3,854,274,470,324 and 5,831,064,080,364 is: 8,821,714,325,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854,274,470,324 : 5,831,064,080,364 = 5,831,064,080,364 : x
  2. Step 2: Convert to fraction form
    3,854,274,470,324/5,831,064,080,364 = 5,831,064,080,364/x
  3. Step 3: Cross multiply
    3,854,274,470,324x = 5,831,064,080,364 × 5,831,064,080,364
  4. Step 4: Simplify right side
    3,854,274,470,324x = 34,001,308,309,311,262,579,228,672
  5. Step 5: Solve for x
    x = 34,001,308,309,311,262,579,228,672/3,854,274,470,324
  6. Step 6: Final answer
    x = 8,821,714,325,511.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.