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Finding the Third Proportional to 1,036,722,651.75 and 2,284,762,401

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Solution

The third proportional to 1,036,722,651.75 and 2,284,762,401 is: 5,035,232,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,722,651.75 : 2,284,762,401 = 2,284,762,401 : x
  2. Step 2: Convert to fraction form
    1,036,722,651.75/2,284,762,401 = 2,284,762,401/x
  3. Step 3: Cross multiply
    1,036,722,651.75x = 2,284,762,401 × 2,284,762,401
  4. Step 4: Simplify right side
    1,036,722,651.75x = 5,220,139,229,023,285,248
  5. Step 5: Solve for x
    x = 5,220,139,229,023,285,248/1,036,722,651.75
  6. Step 6: Final answer
    x = 5,035,232,152.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.