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Finding the Third Proportional to 303,669,853,483 and 653,040,975,762

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Solution

The third proportional to 303,669,853,483 and 653,040,975,762 is: 1,404,362,372,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,669,853,483 : 653,040,975,762 = 653,040,975,762 : x
  2. Step 2: Convert to fraction form
    303,669,853,483/653,040,975,762 = 653,040,975,762/x
  3. Step 3: Cross multiply
    303,669,853,483x = 653,040,975,762 × 653,040,975,762
  4. Step 4: Simplify right side
    303,669,853,483x = 426,462,516,024,185,081,298,944
  5. Step 5: Solve for x
    x = 426,462,516,024,185,081,298,944/303,669,853,483
  6. Step 6: Final answer
    x = 1,404,362,372,928.33

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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.