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Finding the Third Proportional to 407,511,222.75 and 635,480,569.13

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Solution

The third proportional to 407,511,222.75 and 635,480,569.13 is: 990,980,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,511,222.75 : 635,480,569.13 = 635,480,569.13 : x
  2. Step 2: Convert to fraction form
    407,511,222.75/635,480,569.13 = 635,480,569.13/x
  3. Step 3: Cross multiply
    407,511,222.75x = 635,480,569.13 × 635,480,569.13
  4. Step 4: Simplify right side
    407,511,222.75x = 403,835,553,735,433,920
  5. Step 5: Solve for x
    x = 403,835,553,735,433,920/407,511,222.75
  6. Step 6: Final answer
    x = 990,980,201.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.