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Finding the Third Proportional to 1,399,286,080 and 3,062,168,192

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Solution

The third proportional to 1,399,286,080 and 3,062,168,192 is: 6,701,184,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399,286,080 : 3,062,168,192 = 3,062,168,192 : x
  2. Step 2: Convert to fraction form
    1,399,286,080/3,062,168,192 = 3,062,168,192/x
  3. Step 3: Cross multiply
    1,399,286,080x = 3,062,168,192 × 3,062,168,192
  4. Step 4: Simplify right side
    1,399,286,080x = 9,376,874,036,096,548,864
  5. Step 5: Solve for x
    x = 9,376,874,036,096,548,864/1,399,286,080
  6. Step 6: Final answer
    x = 6,701,184,389.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.