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Finding the Third Proportional to 180,809,913 and 392,443,401

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Solution

The third proportional to 180,809,913 and 392,443,401 is: 851,788,601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,809,913 : 392,443,401 = 392,443,401 : x
  2. Step 2: Convert to fraction form
    180,809,913/392,443,401 = 392,443,401/x
  3. Step 3: Cross multiply
    180,809,913x = 392,443,401 × 392,443,401
  4. Step 4: Simplify right side
    180,809,913x = 154,011,822,988,446,816
  5. Step 5: Solve for x
    x = 154,011,822,988,446,816/180,809,913
  6. Step 6: Final answer
    x = 851,788,601.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.