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Finding the Third Proportional to 273,970,613,419 and 419,144,362,085

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Solution

The third proportional to 273,970,613,419 and 419,144,362,085 is: 641,243,942,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,970,613,419 : 419,144,362,085 = 419,144,362,085 : x
  2. Step 2: Convert to fraction form
    273,970,613,419/419,144,362,085 = 419,144,362,085/x
  3. Step 3: Cross multiply
    273,970,613,419x = 419,144,362,085 × 419,144,362,085
  4. Step 4: Simplify right side
    273,970,613,419x = 175,681,996,267,641,580,290,048
  5. Step 5: Solve for x
    x = 175,681,996,267,641,580,290,048/273,970,613,419
  6. Step 6: Final answer
    x = 641,243,942,462.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.