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Finding the Third Proportional to 461,147,464.75 and 995,775,665.92

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Solution

The third proportional to 461,147,464.75 and 995,775,665.92 is: 2,150,221,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,147,464.75 : 995,775,665.92 = 995,775,665.92 : x
  2. Step 2: Convert to fraction form
    461,147,464.75/995,775,665.92 = 995,775,665.92/x
  3. Step 3: Cross multiply
    461,147,464.75x = 995,775,665.92 × 995,775,665.92
  4. Step 4: Simplify right side
    461,147,464.75x = 991,569,176,837,324,160
  5. Step 5: Solve for x
    x = 991,569,176,837,324,160/461,147,464.75
  6. Step 6: Final answer
    x = 2,150,221,464.14

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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.