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Finding the Third Proportional to 7,622,274,134 and 16,510,834,652

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Solution

The third proportional to 7,622,274,134 and 16,510,834,652 is: 35,764,609,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622,274,134 : 16,510,834,652 = 16,510,834,652 : x
  2. Step 2: Convert to fraction form
    7,622,274,134/16,510,834,652 = 16,510,834,652/x
  3. Step 3: Cross multiply
    7,622,274,134x = 16,510,834,652 × 16,510,834,652
  4. Step 4: Simplify right side
    7,622,274,134x = 272,607,660,905,683,976,192
  5. Step 5: Solve for x
    x = 272,607,660,905,683,976,192/7,622,274,134
  6. Step 6: Final answer
    x = 35,764,609,893.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.