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Finding the Third Proportional to 14,328,170,373 and 31,003,289,178

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Solution

The third proportional to 14,328,170,373 and 31,003,289,178 is: 67,084,904,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,328,170,373 : 31,003,289,178 = 31,003,289,178 : x
  2. Step 2: Convert to fraction form
    14,328,170,373/31,003,289,178 = 31,003,289,178/x
  3. Step 3: Cross multiply
    14,328,170,373x = 31,003,289,178 × 31,003,289,178
  4. Step 4: Simplify right side
    14,328,170,373x = 961,203,939,854,691,860,480
  5. Step 5: Solve for x
    x = 961,203,939,854,691,860,480/14,328,170,373
  6. Step 6: Final answer
    x = 67,084,904,410.82

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Why These Related Problems?

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