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Finding the Third Proportional to 12,182,804,544 and 16,437,463,758

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Solution

The third proportional to 12,182,804,544 and 16,437,463,758 is: 22,177,997,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182,804,544 : 16,437,463,758 = 16,437,463,758 : x
  2. Step 2: Convert to fraction form
    12,182,804,544/16,437,463,758 = 16,437,463,758/x
  3. Step 3: Cross multiply
    12,182,804,544x = 16,437,463,758 × 16,437,463,758
  4. Step 4: Simplify right side
    12,182,804,544x = 270,190,214,795,563,466,752
  5. Step 5: Solve for x
    x = 270,190,214,795,563,466,752/12,182,804,544
  6. Step 6: Final answer
    x = 22,177,997,998.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.