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Finding the Third Proportional to 34,300,182,086 and 74,298,671,440

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Solution

The third proportional to 34,300,182,086 and 74,298,671,440 is: 160,940,620,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,300,182,086 : 74,298,671,440 = 74,298,671,440 : x
  2. Step 2: Convert to fraction form
    34,300,182,086/74,298,671,440 = 74,298,671,440/x
  3. Step 3: Cross multiply
    34,300,182,086x = 74,298,671,440 × 74,298,671,440
  4. Step 4: Simplify right side
    34,300,182,086x = 5,520,292,577,749,072,084,992
  5. Step 5: Solve for x
    x = 5,520,292,577,749,072,084,992/34,300,182,086
  6. Step 6: Final answer
    x = 160,940,620,195.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.