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Finding the Third Proportional to 2,072,277,462 and 4,507,639,845

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Solution

The third proportional to 2,072,277,462 and 4,507,639,845 is: 9,805,065,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,277,462 : 4,507,639,845 = 4,507,639,845 : x
  2. Step 2: Convert to fraction form
    2,072,277,462/4,507,639,845 = 4,507,639,845/x
  3. Step 3: Cross multiply
    2,072,277,462x = 4,507,639,845 × 4,507,639,845
  4. Step 4: Simplify right side
    2,072,277,462x = 20,318,816,972,231,622,656
  5. Step 5: Solve for x
    x = 20,318,816,972,231,622,656/2,072,277,462
  6. Step 6: Final answer
    x = 9,805,065,848.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.