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Finding the Third Proportional to 1,024,415,405 and 2,204,202,243

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Solution

The third proportional to 1,024,415,405 and 2,204,202,243 is: 4,742,712,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,415,405 : 2,204,202,243 = 2,204,202,243 : x
  2. Step 2: Convert to fraction form
    1,024,415,405/2,204,202,243 = 2,204,202,243/x
  3. Step 3: Cross multiply
    1,024,415,405x = 2,204,202,243 × 2,204,202,243
  4. Step 4: Simplify right side
    1,024,415,405x = 4,858,507,528,046,231,552
  5. Step 5: Solve for x
    x = 4,858,507,528,046,231,552/1,024,415,405
  6. Step 6: Final answer
    x = 4,742,712,286.77

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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.