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Finding the Third Proportional to 691,626,537 and 1,493,682,232.50

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Solution

The third proportional to 691,626,537 and 1,493,682,232.50 is: 3,225,854,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,626,537 : 1,493,682,232.50 = 1,493,682,232.50 : x
  2. Step 2: Convert to fraction form
    691,626,537/1,493,682,232.50 = 1,493,682,232.50/x
  3. Step 3: Cross multiply
    691,626,537x = 1,493,682,232.50 × 1,493,682,232.50
  4. Step 4: Simplify right side
    691,626,537x = 2,231,086,611,686,183,936
  5. Step 5: Solve for x
    x = 2,231,086,611,686,183,936/691,626,537
  6. Step 6: Final answer
    x = 3,225,854,550.58

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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.