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Finding the Third Proportional to 273,970,613,422 and 419,144,362,090

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Solution

The third proportional to 273,970,613,422 and 419,144,362,090 is: 641,243,942,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,970,613,422 : 419,144,362,090 = 419,144,362,090 : x
  2. Step 2: Convert to fraction form
    273,970,613,422/419,144,362,090 = 419,144,362,090/x
  3. Step 3: Cross multiply
    273,970,613,422x = 419,144,362,090 × 419,144,362,090
  4. Step 4: Simplify right side
    273,970,613,422x = 175,681,996,271,833,032,163,328
  5. Step 5: Solve for x
    x = 175,681,996,271,833,032,163,328/273,970,613,422
  6. Step 6: Final answer
    x = 641,243,942,470.68

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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.