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Finding the Third Proportional to 4,431,094,080 and 7,016,524,080

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Solution

The third proportional to 4,431,094,080 and 7,016,524,080 is: 11,110,486,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431,094,080 : 7,016,524,080 = 7,016,524,080 : x
  2. Step 2: Convert to fraction form
    4,431,094,080/7,016,524,080 = 7,016,524,080/x
  3. Step 3: Cross multiply
    4,431,094,080x = 7,016,524,080 × 7,016,524,080
  4. Step 4: Simplify right side
    4,431,094,080x = 49,231,610,165,219,844,096
  5. Step 5: Solve for x
    x = 49,231,610,165,219,844,096/4,431,094,080
  6. Step 6: Final answer
    x = 11,110,486,321.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.