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Finding the Third Proportional to 1,414,168,968 and 3,073,141,968

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Solution

The third proportional to 1,414,168,968 and 3,073,141,968 is: 6,678,269,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,168,968 : 3,073,141,968 = 3,073,141,968 : x
  2. Step 2: Convert to fraction form
    1,414,168,968/3,073,141,968 = 3,073,141,968/x
  3. Step 3: Cross multiply
    1,414,168,968x = 3,073,141,968 × 3,073,141,968
  4. Step 4: Simplify right side
    1,414,168,968x = 9,444,201,555,482,912,768
  5. Step 5: Solve for x
    x = 9,444,201,555,482,912,768/1,414,168,968
  6. Step 6: Final answer
    x = 6,678,269,548.54

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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.