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Finding the Third Proportional to 471,801,561 and 738,504,376.50

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Solution

The third proportional to 471,801,561 and 738,504,376.50 is: 1,155,970,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,801,561 : 738,504,376.50 = 738,504,376.50 : x
  2. Step 2: Convert to fraction form
    471,801,561/738,504,376.50 = 738,504,376.50/x
  3. Step 3: Cross multiply
    471,801,561x = 738,504,376.50 × 738,504,376.50
  4. Step 4: Simplify right side
    471,801,561x = 545,388,714,109,653,760
  5. Step 5: Solve for x
    x = 545,388,714,109,653,760/471,801,561
  6. Step 6: Final answer
    x = 1,155,970,558.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.