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Finding the Third Proportional to 270,296,720,108 and 368,097,996,346

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Solution

The third proportional to 270,296,720,108 and 368,097,996,346 is: 501,286,641,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,296,720,108 : 368,097,996,346 = 368,097,996,346 : x
  2. Step 2: Convert to fraction form
    270,296,720,108/368,097,996,346 = 368,097,996,346/x
  3. Step 3: Cross multiply
    270,296,720,108x = 368,097,996,346 × 368,097,996,346
  4. Step 4: Simplify right side
    270,296,720,108x = 135,496,134,913,939,830,996,992
  5. Step 5: Solve for x
    x = 135,496,134,913,939,830,996,992/270,296,720,108
  6. Step 6: Final answer
    x = 501,286,641,065.42

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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.