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Finding the Third Proportional to 1,309,208,763.75 and 1,961,898,039

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Solution

The third proportional to 1,309,208,763.75 and 1,961,898,039 is: 2,939,977,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,208,763.75 : 1,961,898,039 = 1,961,898,039 : x
  2. Step 2: Convert to fraction form
    1,309,208,763.75/1,961,898,039 = 1,961,898,039/x
  3. Step 3: Cross multiply
    1,309,208,763.75x = 1,961,898,039 × 1,961,898,039
  4. Step 4: Simplify right side
    1,309,208,763.75x = 3,849,043,915,432,045,568
  5. Step 5: Solve for x
    x = 3,849,043,915,432,045,568/1,309,208,763.75
  6. Step 6: Final answer
    x = 2,939,977,199.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.