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Finding the Third Proportional to 1,667,396,256 and 2,452,595,472

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Solution

The third proportional to 1,667,396,256 and 2,452,595,472 is: 3,607,555,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667,396,256 : 2,452,595,472 = 2,452,595,472 : x
  2. Step 2: Convert to fraction form
    1,667,396,256/2,452,595,472 = 2,452,595,472/x
  3. Step 3: Cross multiply
    1,667,396,256x = 2,452,595,472 × 2,452,595,472
  4. Step 4: Simplify right side
    1,667,396,256x = 6,015,224,549,274,902,528
  5. Step 5: Solve for x
    x = 6,015,224,549,274,902,528/1,667,396,256
  6. Step 6: Final answer
    x = 3,607,555,509.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.