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Finding the Third Proportional to 1,231,346,036 and 1,908,247,330

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Solution

The third proportional to 1,231,346,036 and 1,908,247,330 is: 2,957,257,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,346,036 : 1,908,247,330 = 1,908,247,330 : x
  2. Step 2: Convert to fraction form
    1,231,346,036/1,908,247,330 = 1,908,247,330/x
  3. Step 3: Cross multiply
    1,231,346,036x = 1,908,247,330 × 1,908,247,330
  4. Step 4: Simplify right side
    1,231,346,036x = 3,641,407,872,452,128,768
  5. Step 5: Solve for x
    x = 3,641,407,872,452,128,768/1,231,346,036
  6. Step 6: Final answer
    x = 2,957,257,964.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.