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Finding the Third Proportional to 2,179,065,780 and 3,057,660,658

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Solution

The third proportional to 2,179,065,780 and 3,057,660,658 is: 4,290,503,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179,065,780 : 3,057,660,658 = 3,057,660,658 : x
  2. Step 2: Convert to fraction form
    2,179,065,780/3,057,660,658 = 3,057,660,658/x
  3. Step 3: Cross multiply
    2,179,065,780x = 3,057,660,658 × 3,057,660,658
  4. Step 4: Simplify right side
    2,179,065,780x = 9,349,288,699,480,993,792
  5. Step 5: Solve for x
    x = 9,349,288,699,480,993,792/2,179,065,780
  6. Step 6: Final answer
    x = 4,290,503,198.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.