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Finding the Third Proportional to 3,797,725,430,413 and 8,146,752,760,169

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Solution

The third proportional to 3,797,725,430,413 and 8,146,752,760,169 is: 17,476,139,797,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797,725,430,413 : 8,146,752,760,169 = 8,146,752,760,169 : x
  2. Step 2: Convert to fraction form
    3,797,725,430,413/8,146,752,760,169 = 8,146,752,760,169/x
  3. Step 3: Cross multiply
    3,797,725,430,413x = 8,146,752,760,169 × 8,146,752,760,169
  4. Step 4: Simplify right side
    3,797,725,430,413x = 66,369,580,535,321,216,308,740,096
  5. Step 5: Solve for x
    x = 66,369,580,535,321,216,308,740,096/3,797,725,430,413
  6. Step 6: Final answer
    x = 17,476,139,797,737.71

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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.