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Finding the Third Proportional to 435,412,341 and 940,089,402

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Solution

The third proportional to 435,412,341 and 940,089,402 is: 2,029,726,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,412,341 : 940,089,402 = 940,089,402 : x
  2. Step 2: Convert to fraction form
    435,412,341/940,089,402 = 940,089,402/x
  3. Step 3: Cross multiply
    435,412,341x = 940,089,402 × 940,089,402
  4. Step 4: Simplify right side
    435,412,341x = 883,768,083,752,717,568
  5. Step 5: Solve for x
    x = 883,768,083,752,717,568/435,412,341
  6. Step 6: Final answer
    x = 2,029,726,768.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.