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Finding the Third Proportional to 897,170,265,416 and 1,930,412,968,384

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Solution

The third proportional to 897,170,265,416 and 1,930,412,968,384 is: 4,153,608,709,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,170,265,416 : 1,930,412,968,384 = 1,930,412,968,384 : x
  2. Step 2: Convert to fraction form
    897,170,265,416/1,930,412,968,384 = 1,930,412,968,384/x
  3. Step 3: Cross multiply
    897,170,265,416x = 1,930,412,968,384 × 1,930,412,968,384
  4. Step 4: Simplify right side
    897,170,265,416x = 3,726,494,228,505,126,263,324,672
  5. Step 5: Solve for x
    x = 3,726,494,228,505,126,263,324,672/897,170,265,416
  6. Step 6: Final answer
    x = 4,153,608,709,688.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.