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Finding the Third Proportional to 1,590,617,079.14 and 3,375,123,243.19

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Solution

The third proportional to 1,590,617,079.14 and 3,375,123,243.19 is: 7,161,658,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,617,079.14 : 3,375,123,243.19 = 3,375,123,243.19 : x
  2. Step 2: Convert to fraction form
    1,590,617,079.14/3,375,123,243.19 = 3,375,123,243.19/x
  3. Step 3: Cross multiply
    1,590,617,079.14x = 3,375,123,243.19 × 3,375,123,243.19
  4. Step 4: Simplify right side
    1,590,617,079.14x = 11,391,456,906,704,508,928
  5. Step 5: Solve for x
    x = 11,391,456,906,704,508,928/1,590,617,079.14
  6. Step 6: Final answer
    x = 7,161,658,865.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.