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Finding the Third Proportional to 1,682,373,437 and 3,660,991,994

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Solution

The third proportional to 1,682,373,437 and 3,660,991,994 is: 7,966,639,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,373,437 : 3,660,991,994 = 3,660,991,994 : x
  2. Step 2: Convert to fraction form
    1,682,373,437/3,660,991,994 = 3,660,991,994/x
  3. Step 3: Cross multiply
    1,682,373,437x = 3,660,991,994 × 3,660,991,994
  4. Step 4: Simplify right side
    1,682,373,437x = 13,402,862,380,132,096,000
  5. Step 5: Solve for x
    x = 13,402,862,380,132,096,000/1,682,373,437
  6. Step 6: Final answer
    x = 7,966,639,323.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.