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Finding the Third Proportional to 49,373,201,343 and 108,179,022,804

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Solution

The third proportional to 49,373,201,343 and 108,179,022,804 is: 237,025,363,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,373,201,343 : 108,179,022,804 = 108,179,022,804 : x
  2. Step 2: Convert to fraction form
    49,373,201,343/108,179,022,804 = 108,179,022,804/x
  3. Step 3: Cross multiply
    49,373,201,343x = 108,179,022,804 × 108,179,022,804
  4. Step 4: Simplify right side
    49,373,201,343x = 11,702,700,974,828,351,913,984
  5. Step 5: Solve for x
    x = 11,702,700,974,828,351,913,984/49,373,201,343
  6. Step 6: Final answer
    x = 237,025,363,081.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.