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Finding the Third Proportional to 2,358,430,467.75 and 3,699,361,230.75

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Solution

The third proportional to 2,358,430,467.75 and 3,699,361,230.75 is: 5,802,703,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,430,467.75 : 3,699,361,230.75 = 3,699,361,230.75 : x
  2. Step 2: Convert to fraction form
    2,358,430,467.75/3,699,361,230.75 = 3,699,361,230.75/x
  3. Step 3: Cross multiply
    2,358,430,467.75x = 3,699,361,230.75 × 3,699,361,230.75
  4. Step 4: Simplify right side
    2,358,430,467.75x = 13,685,273,515,576,154,112
  5. Step 5: Solve for x
    x = 13,685,273,515,576,154,112/2,358,430,467.75
  6. Step 6: Final answer
    x = 5,802,703,833.21

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