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Finding the Third Proportional to 471,939,061.50 and 656,193,542.06

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Solution

The third proportional to 471,939,061.50 and 656,193,542.06 is: 912,384,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,939,061.50 : 656,193,542.06 = 656,193,542.06 : x
  2. Step 2: Convert to fraction form
    471,939,061.50/656,193,542.06 = 656,193,542.06/x
  3. Step 3: Cross multiply
    471,939,061.50x = 656,193,542.06 × 656,193,542.06
  4. Step 4: Simplify right side
    471,939,061.50x = 430,589,964,644,529,984
  5. Step 5: Solve for x
    x = 430,589,964,644,529,984/471,939,061.50
  6. Step 6: Final answer
    x = 912,384,669.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.