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Finding the Third Proportional to 1,024,415,417 and 2,204,202,271

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Solution

The third proportional to 1,024,415,417 and 2,204,202,271 is: 4,742,712,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,415,417 : 2,204,202,271 = 2,204,202,271 : x
  2. Step 2: Convert to fraction form
    1,024,415,417/2,204,202,271 = 2,204,202,271/x
  3. Step 3: Cross multiply
    1,024,415,417x = 2,204,202,271 × 2,204,202,271
  4. Step 4: Simplify right side
    1,024,415,417x = 4,858,507,651,481,556,992
  5. Step 5: Solve for x
    x = 4,858,507,651,481,556,992/1,024,415,417
  6. Step 6: Final answer
    x = 4,742,712,351.70

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