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Finding the Third Proportional to 553,041,876 and 1,184,967,622

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Solution

The third proportional to 553,041,876 and 1,184,967,622 is: 2,538,954,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,041,876 : 1,184,967,622 = 1,184,967,622 : x
  2. Step 2: Convert to fraction form
    553,041,876/1,184,967,622 = 1,184,967,622/x
  3. Step 3: Cross multiply
    553,041,876x = 1,184,967,622 × 1,184,967,622
  4. Step 4: Simplify right side
    553,041,876x = 1,404,148,265,188,334,848
  5. Step 5: Solve for x
    x = 1,404,148,265,188,334,848/553,041,876
  6. Step 6: Final answer
    x = 2,538,954,690.64

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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.