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Finding the Third Proportional to 168,219,424,752 and 361,952,431,536

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Solution

The third proportional to 168,219,424,752 and 361,952,431,536 is: 778,801,632,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,219,424,752 : 361,952,431,536 = 361,952,431,536 : x
  2. Step 2: Convert to fraction form
    168,219,424,752/361,952,431,536 = 361,952,431,536/x
  3. Step 3: Cross multiply
    168,219,424,752x = 361,952,431,536 × 361,952,431,536
  4. Step 4: Simplify right side
    168,219,424,752x = 131,009,562,694,822,760,808,448
  5. Step 5: Solve for x
    x = 131,009,562,694,822,760,808,448/168,219,424,752
  6. Step 6: Final answer
    x = 778,801,632,974.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.