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Finding the Third Proportional to 49,803,812,449.59 and 107,543,632,478.91

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Solution

The third proportional to 49,803,812,449.59 and 107,543,632,478.91 is: 232,223,846,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,803,812,449.59 : 107,543,632,478.91 = 107,543,632,478.91 : x
  2. Step 2: Convert to fraction form
    49,803,812,449.59/107,543,632,478.91 = 107,543,632,478.91/x
  3. Step 3: Cross multiply
    49,803,812,449.59x = 107,543,632,478.91 × 107,543,632,478.91
  4. Step 4: Simplify right side
    49,803,812,449.59x = 11,565,632,886,758,866,681,856
  5. Step 5: Solve for x
    x = 11,565,632,886,758,866,681,856/49,803,812,449.59
  6. Step 6: Final answer
    x = 232,223,846,286.15

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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.