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Finding the Third Proportional to 1,904,494,254,168 and 4,111,952,157,456

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Solution

The third proportional to 1,904,494,254,168 and 4,111,952,157,456 is: 8,878,026,545,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904,494,254,168 : 4,111,952,157,456 = 4,111,952,157,456 : x
  2. Step 2: Convert to fraction form
    1,904,494,254,168/4,111,952,157,456 = 4,111,952,157,456/x
  3. Step 3: Cross multiply
    1,904,494,254,168x = 4,111,952,157,456 × 4,111,952,157,456
  4. Step 4: Simplify right side
    1,904,494,254,168x = 16,908,150,545,207,053,684,572,160
  5. Step 5: Solve for x
    x = 16,908,150,545,207,053,684,572,160/1,904,494,254,168
  6. Step 6: Final answer
    x = 8,878,026,545,999.52

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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.