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Finding the Third Proportional to 3,834,918,357 and 8,252,296,050

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Solution

The third proportional to 3,834,918,357 and 8,252,296,050 is: 17,757,976,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834,918,357 : 8,252,296,050 = 8,252,296,050 : x
  2. Step 2: Convert to fraction form
    3,834,918,357/8,252,296,050 = 8,252,296,050/x
  3. Step 3: Cross multiply
    3,834,918,357x = 8,252,296,050 × 8,252,296,050
  4. Step 4: Simplify right side
    3,834,918,357x = 68,100,390,096,845,602,816
  5. Step 5: Solve for x
    x = 68,100,390,096,845,602,816/3,834,918,357
  6. Step 6: Final answer
    x = 17,757,976,508.82

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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.