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Finding the Third Proportional to 717,990,509 and 1,572,183,511

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Solution

The third proportional to 717,990,509 and 1,572,183,511 is: 3,442,609,562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,990,509 : 1,572,183,511 = 1,572,183,511 : x
  2. Step 2: Convert to fraction form
    717,990,509/1,572,183,511 = 1,572,183,511/x
  3. Step 3: Cross multiply
    717,990,509x = 1,572,183,511 × 1,572,183,511
  4. Step 4: Simplify right side
    717,990,509x = 2,471,760,992,260,286,976
  5. Step 5: Solve for x
    x = 2,471,760,992,260,286,976/717,990,509
  6. Step 6: Final answer
    x = 3,442,609,562.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.