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Finding the Third Proportional to 383,777,783.58 and 589,529,623.08

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Solution

The third proportional to 383,777,783.58 and 589,529,623.08 is: 905,589,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,777,783.58 : 589,529,623.08 = 589,529,623.08 : x
  2. Step 2: Convert to fraction form
    383,777,783.58/589,529,623.08 = 589,529,623.08/x
  3. Step 3: Cross multiply
    383,777,783.58x = 589,529,623.08 × 589,529,623.08
  4. Step 4: Simplify right side
    383,777,783.58x = 347,545,176,486,606,592
  5. Step 5: Solve for x
    x = 347,545,176,486,606,592/383,777,783.58
  6. Step 6: Final answer
    x = 905,589,618.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.