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Finding the Third Proportional to 232,584,379,352 and 504,863,415,088

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Solution

The third proportional to 232,584,379,352 and 504,863,415,088 is: 1,095,890,741,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,584,379,352 : 504,863,415,088 = 504,863,415,088 : x
  2. Step 2: Convert to fraction form
    232,584,379,352/504,863,415,088 = 504,863,415,088/x
  3. Step 3: Cross multiply
    232,584,379,352x = 504,863,415,088 × 504,863,415,088
  4. Step 4: Simplify right side
    232,584,379,352x = 254,887,067,894,318,186,364,928
  5. Step 5: Solve for x
    x = 254,887,067,894,318,186,364,928/232,584,379,352
  6. Step 6: Final answer
    x = 1,095,890,741,263.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.