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Finding the Third Proportional to 1,024,415,147.50 and 2,204,201,768

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Solution

The third proportional to 1,024,415,147.50 and 2,204,201,768 is: 4,742,711,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,415,147.50 : 2,204,201,768 = 2,204,201,768 : x
  2. Step 2: Convert to fraction form
    1,024,415,147.50/2,204,201,768 = 2,204,201,768/x
  3. Step 3: Cross multiply
    1,024,415,147.50x = 2,204,201,768 × 2,204,201,768
  4. Step 4: Simplify right side
    1,024,415,147.50x = 4,858,505,434,054,326,272
  5. Step 5: Solve for x
    x = 4,858,505,434,054,326,272/1,024,415,147.50
  6. Step 6: Final answer
    x = 4,742,711,434.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.