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Finding the Third Proportional to 757,574,570 and 1,770,036,027

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Solution

The third proportional to 757,574,570 and 1,770,036,027 is: 4,135,602,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,574,570 : 1,770,036,027 = 1,770,036,027 : x
  2. Step 2: Convert to fraction form
    757,574,570/1,770,036,027 = 1,770,036,027/x
  3. Step 3: Cross multiply
    757,574,570x = 1,770,036,027 × 1,770,036,027
  4. Step 4: Simplify right side
    757,574,570x = 3,133,027,536,877,944,832
  5. Step 5: Solve for x
    x = 3,133,027,536,877,944,832/757,574,570
  6. Step 6: Final answer
    x = 4,135,602,831.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.