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Finding the Third Proportional to 49,760,754.05 and 77,889,600.63

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Solution

The third proportional to 49,760,754.05 and 77,889,600.63 is: 121,919,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,760,754.05 : 77,889,600.63 = 77,889,600.63 : x
  2. Step 2: Convert to fraction form
    49,760,754.05/77,889,600.63 = 77,889,600.63/x
  3. Step 3: Cross multiply
    49,760,754.05x = 77,889,600.63 × 77,889,600.63
  4. Step 4: Simplify right side
    49,760,754.05x = 6,066,789,886,738,946
  5. Step 5: Solve for x
    x = 6,066,789,886,738,946/49,760,754.05
  6. Step 6: Final answer
    x = 121,919,171.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.