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Finding the Third Proportional to 2,853,298,464 and 5,786,825,184

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Solution

The third proportional to 2,853,298,464 and 5,786,825,184 is: 11,736,362,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,298,464 : 5,786,825,184 = 5,786,825,184 : x
  2. Step 2: Convert to fraction form
    2,853,298,464/5,786,825,184 = 5,786,825,184/x
  3. Step 3: Cross multiply
    2,853,298,464x = 5,786,825,184 × 5,786,825,184
  4. Step 4: Simplify right side
    2,853,298,464x = 33,487,345,710,176,632,832
  5. Step 5: Solve for x
    x = 33,487,345,710,176,632,832/2,853,298,464
  6. Step 6: Final answer
    x = 11,736,362,715.88

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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.