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Finding the Third Proportional to 310,904,999,766 and 477,671,170,311

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Solution

The third proportional to 310,904,999,766 and 477,671,170,311 is: 733,888,960,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,904,999,766 : 477,671,170,311 = 477,671,170,311 : x
  2. Step 2: Convert to fraction form
    310,904,999,766/477,671,170,311 = 477,671,170,311/x
  3. Step 3: Cross multiply
    310,904,999,766x = 477,671,170,311 × 477,671,170,311
  4. Step 4: Simplify right side
    310,904,999,766x = 228,169,746,946,280,382,267,392
  5. Step 5: Solve for x
    x = 228,169,746,946,280,382,267,392/310,904,999,766
  6. Step 6: Final answer
    x = 733,888,960,029.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.