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Finding the Third Proportional to 2,071,557,039 and 4,438,595,273.75

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Solution

The third proportional to 2,071,557,039 and 4,438,595,273.75 is: 9,510,299,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,557,039 : 4,438,595,273.75 = 4,438,595,273.75 : x
  2. Step 2: Convert to fraction form
    2,071,557,039/4,438,595,273.75 = 4,438,595,273.75/x
  3. Step 3: Cross multiply
    2,071,557,039x = 4,438,595,273.75 × 4,438,595,273.75
  4. Step 4: Simplify right side
    2,071,557,039x = 19,701,128,004,155,838,464
  5. Step 5: Solve for x
    x = 19,701,128,004,155,838,464/2,071,557,039
  6. Step 6: Final answer
    x = 9,510,299,563.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.