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Finding the Third Proportional to 365,452,430.91 and 789,151,642.88

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Solution

The third proportional to 365,452,430.91 and 789,151,642.88 is: 1,704,080,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,452,430.91 : 789,151,642.88 = 789,151,642.88 : x
  2. Step 2: Convert to fraction form
    365,452,430.91/789,151,642.88 = 789,151,642.88/x
  3. Step 3: Cross multiply
    365,452,430.91x = 789,151,642.88 × 789,151,642.88
  4. Step 4: Simplify right side
    365,452,430.91x = 622,760,315,452,311,552
  5. Step 5: Solve for x
    x = 622,760,315,452,311,552/365,452,430.91
  6. Step 6: Final answer
    x = 1,704,080,374.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.