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Finding the Third Proportional to 49,258,206,574 and 107,545,463,242

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Solution

The third proportional to 49,258,206,574 and 107,545,463,242 is: 234,804,055,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,258,206,574 : 107,545,463,242 = 107,545,463,242 : x
  2. Step 2: Convert to fraction form
    49,258,206,574/107,545,463,242 = 107,545,463,242/x
  3. Step 3: Cross multiply
    49,258,206,574x = 107,545,463,242 × 107,545,463,242
  4. Step 4: Simplify right side
    49,258,206,574x = 11,566,026,663,936,372,244,480
  5. Step 5: Solve for x
    x = 11,566,026,663,936,372,244,480/49,258,206,574
  6. Step 6: Final answer
    x = 234,804,055,372.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.