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Finding the Third Proportional to 49,803,812,448 and 107,543,632,477

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Solution

The third proportional to 49,803,812,448 and 107,543,632,477 is: 232,223,846,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,803,812,448 : 107,543,632,477 = 107,543,632,477 : x
  2. Step 2: Convert to fraction form
    49,803,812,448/107,543,632,477 = 107,543,632,477/x
  3. Step 3: Cross multiply
    49,803,812,448x = 107,543,632,477 × 107,543,632,477
  4. Step 4: Simplify right side
    49,803,812,448x = 11,565,632,886,348,049,285,120
  5. Step 5: Solve for x
    x = 11,565,632,886,348,049,285,120/49,803,812,448
  6. Step 6: Final answer
    x = 232,223,846,285.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.