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Finding the Third Proportional to 14,328,170,390 and 31,003,289,212

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Solution

The third proportional to 14,328,170,390 and 31,003,289,212 is: 67,084,904,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,328,170,390 : 31,003,289,212 = 31,003,289,212 : x
  2. Step 2: Convert to fraction form
    14,328,170,390/31,003,289,212 = 31,003,289,212/x
  3. Step 3: Cross multiply
    14,328,170,390x = 31,003,289,212 × 31,003,289,212
  4. Step 4: Simplify right side
    14,328,170,390x = 961,203,941,962,915,643,392
  5. Step 5: Solve for x
    x = 961,203,941,962,915,643,392/14,328,170,390
  6. Step 6: Final answer
    x = 67,084,904,478.37

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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.