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Finding the Third Proportional to 691,626,542 and 1,493,682,248

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Solution

The third proportional to 691,626,542 and 1,493,682,248 is: 3,225,854,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,626,542 : 1,493,682,248 = 1,493,682,248 : x
  2. Step 2: Convert to fraction form
    691,626,542/1,493,682,248 = 1,493,682,248/x
  3. Step 3: Cross multiply
    691,626,542x = 1,493,682,248 × 1,493,682,248
  4. Step 4: Simplify right side
    691,626,542x = 2,231,086,657,990,333,440
  5. Step 5: Solve for x
    x = 2,231,086,657,990,333,440/691,626,542
  6. Step 6: Final answer
    x = 3,225,854,594.21

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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.