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Finding the Third Proportional to 2,853,298,420 and 5,786,825,104

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Solution

The third proportional to 2,853,298,420 and 5,786,825,104 is: 11,736,362,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,298,420 : 5,786,825,104 = 5,786,825,104 : x
  2. Step 2: Convert to fraction form
    2,853,298,420/5,786,825,104 = 5,786,825,104/x
  3. Step 3: Cross multiply
    2,853,298,420x = 5,786,825,104 × 5,786,825,104
  4. Step 4: Simplify right side
    2,853,298,420x = 33,487,344,784,284,610,560
  5. Step 5: Solve for x
    x = 33,487,344,784,284,610,560/2,853,298,420
  6. Step 6: Final answer
    x = 11,736,362,572.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.