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Finding the Third Proportional to 168,441,421,049 and 374,543,939,997

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Solution

The third proportional to 168,441,421,049 and 374,543,939,997 is: 832,830,559,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,441,421,049 : 374,543,939,997 = 374,543,939,997 : x
  2. Step 2: Convert to fraction form
    168,441,421,049/374,543,939,997 = 374,543,939,997/x
  3. Step 3: Cross multiply
    168,441,421,049x = 374,543,939,997 × 374,543,939,997
  4. Step 4: Simplify right side
    168,441,421,049x = 140,283,162,988,476,343,779,328
  5. Step 5: Solve for x
    x = 140,283,162,988,476,343,779,328/168,441,421,049
  6. Step 6: Final answer
    x = 832,830,559,816.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.