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Finding the Third Proportional to 7,622,274,140 and 16,510,834,672

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Solution

The third proportional to 7,622,274,140 and 16,510,834,672 is: 35,764,609,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622,274,140 : 16,510,834,672 = 16,510,834,672 : x
  2. Step 2: Convert to fraction form
    7,622,274,140/16,510,834,672 = 16,510,834,672/x
  3. Step 3: Cross multiply
    7,622,274,140x = 16,510,834,672 × 16,510,834,672
  4. Step 4: Simplify right side
    7,622,274,140x = 272,607,661,566,117,347,328
  5. Step 5: Solve for x
    x = 272,607,661,566,117,347,328/7,622,274,140
  6. Step 6: Final answer
    x = 35,764,609,952.24

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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.