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Finding the Third Proportional to 6,170,739,654 and 9,400,484,296

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Solution

The third proportional to 6,170,739,654 and 9,400,484,296 is: 14,320,666,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170,739,654 : 9,400,484,296 = 9,400,484,296 : x
  2. Step 2: Convert to fraction form
    6,170,739,654/9,400,484,296 = 9,400,484,296/x
  3. Step 3: Cross multiply
    6,170,739,654x = 9,400,484,296 × 9,400,484,296
  4. Step 4: Simplify right side
    6,170,739,654x = 88,369,104,999,342,620,672
  5. Step 5: Solve for x
    x = 88,369,104,999,342,620,672/6,170,739,654
  6. Step 6: Final answer
    x = 14,320,666,557.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.