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Finding the Third Proportional to 1,427,477,822 and 2,182,245,795

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Solution

The third proportional to 1,427,477,822 and 2,182,245,795 is: 3,336,091,557.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,477,822 : 2,182,245,795 = 2,182,245,795 : x
  2. Step 2: Convert to fraction form
    1,427,477,822/2,182,245,795 = 2,182,245,795/x
  3. Step 3: Cross multiply
    1,427,477,822x = 2,182,245,795 × 2,182,245,795
  4. Step 4: Simplify right side
    1,427,477,822x = 4,762,196,709,795,181,568
  5. Step 5: Solve for x
    x = 4,762,196,709,795,181,568/1,427,477,822
  6. Step 6: Final answer
    x = 3,336,091,557.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.