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Finding the Third Proportional to 395,432,224,292 and 858,275,613,702

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Solution

The third proportional to 395,432,224,292 and 858,275,613,702 is: 1,862,865,451,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,432,224,292 : 858,275,613,702 = 858,275,613,702 : x
  2. Step 2: Convert to fraction form
    395,432,224,292/858,275,613,702 = 858,275,613,702/x
  3. Step 3: Cross multiply
    395,432,224,292x = 858,275,613,702 × 858,275,613,702
  4. Step 4: Simplify right side
    395,432,224,292x = 736,637,029,075,544,677,810,176
  5. Step 5: Solve for x
    x = 736,637,029,075,544,677,810,176/395,432,224,292
  6. Step 6: Final answer
    x = 1,862,865,451,581.38

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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.