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Finding the Third Proportional to 182,505,636 and 405,815,724

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Solution

The third proportional to 182,505,636 and 405,815,724 is: 902,363,376.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,505,636 : 405,815,724 = 405,815,724 : x
  2. Step 2: Convert to fraction form
    182,505,636/405,815,724 = 405,815,724/x
  3. Step 3: Cross multiply
    182,505,636x = 405,815,724 × 405,815,724
  4. Step 4: Simplify right side
    182,505,636x = 164,686,401,845,644,160
  5. Step 5: Solve for x
    x = 164,686,401,845,644,160/182,505,636
  6. Step 6: Final answer
    x = 902,363,376.03

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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.