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Finding the Third Proportional to 1,378,189,134 and 2,068,291,665

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Solution

The third proportional to 1,378,189,134 and 2,068,291,665 is: 3,103,950,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,189,134 : 2,068,291,665 = 2,068,291,665 : x
  2. Step 2: Convert to fraction form
    1,378,189,134/2,068,291,665 = 2,068,291,665/x
  3. Step 3: Cross multiply
    1,378,189,134x = 2,068,291,665 × 2,068,291,665
  4. Step 4: Simplify right side
    1,378,189,134x = 4,277,830,411,508,472,320
  5. Step 5: Solve for x
    x = 4,277,830,411,508,472,320/1,378,189,134
  6. Step 6: Final answer
    x = 3,103,950,180.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.