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Finding the Third Proportional to 1,537,494,098 and 2,296,166,067

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Solution

The third proportional to 1,537,494,098 and 2,296,166,067 is: 3,429,202,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,494,098 : 2,296,166,067 = 2,296,166,067 : x
  2. Step 2: Convert to fraction form
    1,537,494,098/2,296,166,067 = 2,296,166,067/x
  3. Step 3: Cross multiply
    1,537,494,098x = 2,296,166,067 × 2,296,166,067
  4. Step 4: Simplify right side
    1,537,494,098x = 5,272,378,607,242,248,192
  5. Step 5: Solve for x
    x = 5,272,378,607,242,248,192/1,537,494,098
  6. Step 6: Final answer
    x = 3,429,202,501.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.