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Finding the Third Proportional to 300,644,082 and 628,777,095.75

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Solution

The third proportional to 300,644,082 and 628,777,095.75 is: 1,315,045,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,644,082 : 628,777,095.75 = 628,777,095.75 : x
  2. Step 2: Convert to fraction form
    300,644,082/628,777,095.75 = 628,777,095.75/x
  3. Step 3: Cross multiply
    300,644,082x = 628,777,095.75 × 628,777,095.75
  4. Step 4: Simplify right side
    300,644,082x = 395,360,636,139,804,672
  5. Step 5: Solve for x
    x = 395,360,636,139,804,672/300,644,082
  6. Step 6: Final answer
    x = 1,315,045,463.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.