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Finding the Third Proportional to 839,011,932 and 1,270,173,150

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Solution

The third proportional to 839,011,932 and 1,270,173,150 is: 1,922,904,513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,011,932 : 1,270,173,150 = 1,270,173,150 : x
  2. Step 2: Convert to fraction form
    839,011,932/1,270,173,150 = 1,270,173,150/x
  3. Step 3: Cross multiply
    839,011,932x = 1,270,173,150 × 1,270,173,150
  4. Step 4: Simplify right side
    839,011,932x = 1,613,339,830,980,922,624
  5. Step 5: Solve for x
    x = 1,613,339,830,980,922,624/839,011,932
  6. Step 6: Final answer
    x = 1,922,904,513.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.