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Finding the Third Proportional to 3,797,725,430,350.20 and 8,146,752,760,043.20

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Solution

The third proportional to 3,797,725,430,350.20 and 8,146,752,760,043.20 is: 17,476,139,797,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797,725,430,350.20 : 8,146,752,760,043.20 = 8,146,752,760,043.20 : x
  2. Step 2: Convert to fraction form
    3,797,725,430,350.20/8,146,752,760,043.20 = 8,146,752,760,043.20/x
  3. Step 3: Cross multiply
    3,797,725,430,350.20x = 8,146,752,760,043.20 × 8,146,752,760,043.20
  4. Step 4: Simplify right side
    3,797,725,430,350.20x = 66,369,580,533,271,503,296,266,240
  5. Step 5: Solve for x
    x = 66,369,580,533,271,503,296,266,240/3,797,725,430,350.20
  6. Step 6: Final answer
    x = 17,476,139,797,486.98

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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.