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Finding the Third Proportional to 312,231,977,752 and 421,274,250,213

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Solution

The third proportional to 312,231,977,752 and 421,274,250,213 is: 568,397,878,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,231,977,752 : 421,274,250,213 = 421,274,250,213 : x
  2. Step 2: Convert to fraction form
    312,231,977,752/421,274,250,213 = 421,274,250,213/x
  3. Step 3: Cross multiply
    312,231,977,752x = 421,274,250,213 × 421,274,250,213
  4. Step 4: Simplify right side
    312,231,977,752x = 177,471,993,892,525,316,243,456
  5. Step 5: Solve for x
    x = 177,471,993,892,525,316,243,456/312,231,977,752
  6. Step 6: Final answer
    x = 568,397,878,943.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.