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Finding the Third Proportional to 3,579,606,427 and 7,261,280,897

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Solution

The third proportional to 3,579,606,427 and 7,261,280,897 is: 14,729,608,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579,606,427 : 7,261,280,897 = 7,261,280,897 : x
  2. Step 2: Convert to fraction form
    3,579,606,427/7,261,280,897 = 7,261,280,897/x
  3. Step 3: Cross multiply
    3,579,606,427x = 7,261,280,897 × 7,261,280,897
  4. Step 4: Simplify right side
    3,579,606,427x = 52,726,200,265,137,127,424
  5. Step 5: Solve for x
    x = 52,726,200,265,137,127,424/3,579,606,427
  6. Step 6: Final answer
    x = 14,729,608,223.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.