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Finding the Third Proportional to 3,797,725,430,380.50 and 8,146,752,760,102.80

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Solution

The third proportional to 3,797,725,430,380.50 and 8,146,752,760,102.80 is: 17,476,139,797,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797,725,430,380.50 : 8,146,752,760,102.80 = 8,146,752,760,102.80 : x
  2. Step 2: Convert to fraction form
    3,797,725,430,380.50/8,146,752,760,102.80 = 8,146,752,760,102.80/x
  3. Step 3: Cross multiply
    3,797,725,430,380.50x = 8,146,752,760,102.80 × 8,146,752,760,102.80
  4. Step 4: Simplify right side
    3,797,725,430,380.50x = 66,369,580,534,242,586,811,957,248
  5. Step 5: Solve for x
    x = 66,369,580,534,242,586,811,957,248/3,797,725,430,380.50
  6. Step 6: Final answer
    x = 17,476,139,797,603.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.