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Finding the Third Proportional to 395,432,224,290 and 858,275,613,697.50

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Solution

The third proportional to 395,432,224,290 and 858,275,613,697.50 is: 1,862,865,451,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,432,224,290 : 858,275,613,697.50 = 858,275,613,697.50 : x
  2. Step 2: Convert to fraction form
    395,432,224,290/858,275,613,697.50 = 858,275,613,697.50/x
  3. Step 3: Cross multiply
    395,432,224,290x = 858,275,613,697.50 × 858,275,613,697.50
  4. Step 4: Simplify right side
    395,432,224,290x = 736,637,029,067,820,313,346,048
  5. Step 5: Solve for x
    x = 736,637,029,067,820,313,346,048/395,432,224,290
  6. Step 6: Final answer
    x = 1,862,865,451,571.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.