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Finding the Third Proportional to 14,474,489,888 and 31,512,050,248

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Solution

The third proportional to 14,474,489,888 and 31,512,050,248 is: 68,604,097,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474,489,888 : 31,512,050,248 = 31,512,050,248 : x
  2. Step 2: Convert to fraction form
    14,474,489,888/31,512,050,248 = 31,512,050,248/x
  3. Step 3: Cross multiply
    14,474,489,888x = 31,512,050,248 × 31,512,050,248
  4. Step 4: Simplify right side
    14,474,489,888x = 993,009,310,832,476,815,360
  5. Step 5: Solve for x
    x = 993,009,310,832,476,815,360/14,474,489,888
  6. Step 6: Final answer
    x = 68,604,097,174.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.