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Finding the Third Proportional to 918,103,556.81 and 1,992,083,306.06

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Solution

The third proportional to 918,103,556.81 and 1,992,083,306.06 is: 4,322,383,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,103,556.81 : 1,992,083,306.06 = 1,992,083,306.06 : x
  2. Step 2: Convert to fraction form
    918,103,556.81/1,992,083,306.06 = 1,992,083,306.06/x
  3. Step 3: Cross multiply
    918,103,556.81x = 1,992,083,306.06 × 1,992,083,306.06
  4. Step 4: Simplify right side
    918,103,556.81x = 3,968,395,898,292,899,840
  5. Step 5: Solve for x
    x = 3,968,395,898,292,899,840/918,103,556.81
  6. Step 6: Final answer
    x = 4,322,383,753.82

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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.