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Finding the Third Proportional to 1,231,957,430,398 and 1,811,032,073,818

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Solution

The third proportional to 1,231,957,430,398 and 1,811,032,073,818 is: 2,662,297,488,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,957,430,398 : 1,811,032,073,818 = 1,811,032,073,818 : x
  2. Step 2: Convert to fraction form
    1,231,957,430,398/1,811,032,073,818 = 1,811,032,073,818/x
  3. Step 3: Cross multiply
    1,231,957,430,398x = 1,811,032,073,818 × 1,811,032,073,818
  4. Step 4: Simplify right side
    1,231,957,430,398x = 3,279,837,172,397,526,021,570,560
  5. Step 5: Solve for x
    x = 3,279,837,172,397,526,021,570,560/1,231,957,430,398
  6. Step 6: Final answer
    x = 2,662,297,488,102.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.