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Finding the Third Proportional to 691,626,543 and 1,493,682,246

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Solution

The third proportional to 691,626,543 and 1,493,682,246 is: 3,225,854,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,626,543 : 1,493,682,246 = 1,493,682,246 : x
  2. Step 2: Convert to fraction form
    691,626,543/1,493,682,246 = 1,493,682,246/x
  3. Step 3: Cross multiply
    691,626,543x = 1,493,682,246 × 1,493,682,246
  4. Step 4: Simplify right side
    691,626,543x = 2,231,086,652,015,604,480
  5. Step 5: Solve for x
    x = 2,231,086,652,015,604,480/691,626,543
  6. Step 6: Final answer
    x = 3,225,854,580.91

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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.