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Finding the Third Proportional to 348,699,168 and 733,537,296

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Solution

The third proportional to 348,699,168 and 733,537,296 is: 1,543,097,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,699,168 : 733,537,296 = 733,537,296 : x
  2. Step 2: Convert to fraction form
    348,699,168/733,537,296 = 733,537,296/x
  3. Step 3: Cross multiply
    348,699,168x = 733,537,296 × 733,537,296
  4. Step 4: Simplify right side
    348,699,168x = 538,076,964,622,991,616
  5. Step 5: Solve for x
    x = 538,076,964,622,991,616/348,699,168
  6. Step 6: Final answer
    x = 1,543,097,930.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.