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Finding the Third Proportional to 36,738,640,458,018 and 78,717,546,287,343

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Solution

The third proportional to 36,738,640,458,018 and 78,717,546,287,343 is: 168,663,075,613,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,738,640,458,018 : 78,717,546,287,343 = 78,717,546,287,343 : x
  2. Step 2: Convert to fraction form
    36,738,640,458,018/78,717,546,287,343 = 78,717,546,287,343/x
  3. Step 3: Cross multiply
    36,738,640,458,018x = 78,717,546,287,343 × 78,717,546,287,343
  4. Step 4: Simplify right side
    36,738,640,458,018x = 6,196,452,093,499,987,529,939,550,208
  5. Step 5: Solve for x
    x = 6,196,452,093,499,987,529,939,550,208/36,738,640,458,018
  6. Step 6: Final answer
    x = 168,663,075,613,285.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.