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Finding the Third Proportional to 717,990,485 and 1,572,183,463

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Solution

The third proportional to 717,990,485 and 1,572,183,463 is: 3,442,609,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,990,485 : 1,572,183,463 = 1,572,183,463 : x
  2. Step 2: Convert to fraction form
    717,990,485/1,572,183,463 = 1,572,183,463/x
  3. Step 3: Cross multiply
    717,990,485x = 1,572,183,463 × 1,572,183,463
  4. Step 4: Simplify right side
    717,990,485x = 2,471,760,841,330,672,128
  5. Step 5: Solve for x
    x = 2,471,760,841,330,672,128/717,990,485
  6. Step 6: Final answer
    x = 3,442,609,467.63

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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.