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Finding the Third Proportional to 12,399,082,858 and 19,146,747,779

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Solution

The third proportional to 12,399,082,858 and 19,146,747,779 is: 29,566,537,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399,082,858 : 19,146,747,779 = 19,146,747,779 : x
  2. Step 2: Convert to fraction form
    12,399,082,858/19,146,747,779 = 19,146,747,779/x
  3. Step 3: Cross multiply
    12,399,082,858x = 19,146,747,779 × 19,146,747,779
  4. Step 4: Simplify right side
    12,399,082,858x = 366,597,950,512,641,409,024
  5. Step 5: Solve for x
    x = 366,597,950,512,641,409,024/12,399,082,858
  6. Step 6: Final answer
    x = 29,566,537,679.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.