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Finding the Third Proportional to 1,596,940,470 and 3,475,082,361.75

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Solution

The third proportional to 1,596,940,470 and 3,475,082,361.75 is: 7,562,083,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,940,470 : 3,475,082,361.75 = 3,475,082,361.75 : x
  2. Step 2: Convert to fraction form
    1,596,940,470/3,475,082,361.75 = 3,475,082,361.75/x
  3. Step 3: Cross multiply
    1,596,940,470x = 3,475,082,361.75 × 3,475,082,361.75
  4. Step 4: Simplify right side
    1,596,940,470x = 12,076,197,420,945,956,864
  5. Step 5: Solve for x
    x = 12,076,197,420,945,956,864/1,596,940,470
  6. Step 6: Final answer
    x = 7,562,083,651.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.