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Finding the Third Proportional to 1,999,809,376 and 4,351,666,025

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Solution

The third proportional to 1,999,809,376 and 4,351,666,025 is: 9,469,401,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999,809,376 : 4,351,666,025 = 4,351,666,025 : x
  2. Step 2: Convert to fraction form
    1,999,809,376/4,351,666,025 = 4,351,666,025/x
  3. Step 3: Cross multiply
    1,999,809,376x = 4,351,666,025 × 4,351,666,025
  4. Step 4: Simplify right side
    1,999,809,376x = 18,936,997,193,139,302,400
  5. Step 5: Solve for x
    x = 18,936,997,193,139,302,400/1,999,809,376
  6. Step 6: Final answer
    x = 9,469,401,144.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.