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Finding the Third Proportional to 490,908,320,055 and 1,146,983,342,422.50

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Solution

The third proportional to 490,908,320,055 and 1,146,983,342,422.50 is: 2,679,870,627,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,908,320,055 : 1,146,983,342,422.50 = 1,146,983,342,422.50 : x
  2. Step 2: Convert to fraction form
    490,908,320,055/1,146,983,342,422.50 = 1,146,983,342,422.50/x
  3. Step 3: Cross multiply
    490,908,320,055x = 1,146,983,342,422.50 × 1,146,983,342,422.50
  4. Step 4: Simplify right side
    490,908,320,055x = 1,315,570,787,794,689,967,783,936
  5. Step 5: Solve for x
    x = 1,315,570,787,794,689,967,783,936/490,908,320,055
  6. Step 6: Final answer
    x = 2,679,870,627,670.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.