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Finding the Third Proportional to 32,076,942 and 46,345,647

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Solution

The third proportional to 32,076,942 and 46,345,647 is: 66,961,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076,942 : 46,345,647 = 46,345,647 : x
  2. Step 2: Convert to fraction form
    32,076,942/46,345,647 = 46,345,647/x
  3. Step 3: Cross multiply
    32,076,942x = 46,345,647 × 46,345,647
  4. Step 4: Simplify right side
    32,076,942x = 2,147,918,995,848,609
  5. Step 5: Solve for x
    x = 2,147,918,995,848,609/32,076,942
  6. Step 6: Final answer
    x = 66,961,463.97

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.