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Finding the Third Proportional to 649,612,914.75 and 1,533,020,538.38

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Solution

The third proportional to 649,612,914.75 and 1,533,020,538.38 is: 3,617,772,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,612,914.75 : 1,533,020,538.38 = 1,533,020,538.38 : x
  2. Step 2: Convert to fraction form
    649,612,914.75/1,533,020,538.38 = 1,533,020,538.38/x
  3. Step 3: Cross multiply
    649,612,914.75x = 1,533,020,538.38 × 1,533,020,538.38
  4. Step 4: Simplify right side
    649,612,914.75x = 2,350,151,971,079,575,040
  5. Step 5: Solve for x
    x = 2,350,151,971,079,575,040/649,612,914.75
  6. Step 6: Final answer
    x = 3,617,772,857.83

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.