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Finding the Third Proportional to 270,296,720,334 and 368,097,996,665.25

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Solution

The third proportional to 270,296,720,334 and 368,097,996,665.25 is: 501,286,641,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,296,720,334 : 368,097,996,665.25 = 368,097,996,665.25 : x
  2. Step 2: Convert to fraction form
    270,296,720,334/368,097,996,665.25 = 368,097,996,665.25/x
  3. Step 3: Cross multiply
    270,296,720,334x = 368,097,996,665.25 × 368,097,996,665.25
  4. Step 4: Simplify right side
    270,296,720,334x = 135,496,135,148,970,407,100,416
  5. Step 5: Solve for x
    x = 135,496,135,148,970,407,100,416/270,296,720,334
  6. Step 6: Final answer
    x = 501,286,641,515.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.