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Finding the Third Proportional to 310,904,999,859 and 477,671,170,440

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Solution

The third proportional to 310,904,999,859 and 477,671,170,440 is: 733,888,960,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,904,999,859 : 477,671,170,440 = 477,671,170,440 : x
  2. Step 2: Convert to fraction form
    310,904,999,859/477,671,170,440 = 477,671,170,440/x
  3. Step 3: Cross multiply
    310,904,999,859x = 477,671,170,440 × 477,671,170,440
  4. Step 4: Simplify right side
    310,904,999,859x = 228,169,747,069,519,536,324,608
  5. Step 5: Solve for x
    x = 228,169,747,069,519,536,324,608/310,904,999,859
  6. Step 6: Final answer
    x = 733,888,960,206.49

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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.