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Finding the Third Proportional to 897,170,265,415.10 and 1,930,412,968,381.80

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Solution

The third proportional to 897,170,265,415.10 and 1,930,412,968,381.80 is: 4,153,608,709,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,170,265,415.10 : 1,930,412,968,381.80 = 1,930,412,968,381.80 : x
  2. Step 2: Convert to fraction form
    897,170,265,415.10/1,930,412,968,381.80 = 1,930,412,968,381.80/x
  3. Step 3: Cross multiply
    897,170,265,415.10x = 1,930,412,968,381.80 × 1,930,412,968,381.80
  4. Step 4: Simplify right side
    897,170,265,415.10x = 3,726,494,228,496,632,428,625,920
  5. Step 5: Solve for x
    x = 3,726,494,228,496,632,428,625,920/897,170,265,415.10
  6. Step 6: Final answer
    x = 4,153,608,709,682.85

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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.