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Finding the Third Proportional to 300,428,200.13 and 633,136,520.25

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Solution

The third proportional to 300,428,200.13 and 633,136,520.25 is: 1,334,301,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,428,200.13 : 633,136,520.25 = 633,136,520.25 : x
  2. Step 2: Convert to fraction form
    300,428,200.13/633,136,520.25 = 633,136,520.25/x
  3. Step 3: Cross multiply
    300,428,200.13x = 633,136,520.25 × 633,136,520.25
  4. Step 4: Simplify right side
    300,428,200.13x = 400,861,853,274,278,656
  5. Step 5: Solve for x
    x = 400,861,853,274,278,656/300,428,200.13
  6. Step 6: Final answer
    x = 1,334,301,683.76

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.