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Finding the Third Proportional to 1,560,850,078.50 and 2,243,489,427

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Solution

The third proportional to 1,560,850,078.50 and 2,243,489,427 is: 3,224,681,779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,850,078.50 : 2,243,489,427 = 2,243,489,427 : x
  2. Step 2: Convert to fraction form
    1,560,850,078.50/2,243,489,427 = 2,243,489,427/x
  3. Step 3: Cross multiply
    1,560,850,078.50x = 2,243,489,427 × 2,243,489,427
  4. Step 4: Simplify right side
    1,560,850,078.50x = 5,033,244,809,060,788,224
  5. Step 5: Solve for x
    x = 5,033,244,809,060,788,224/1,560,850,078.50
  6. Step 6: Final answer
    x = 3,224,681,779.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.