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Finding the Third Proportional to 32,076,922.50 and 46,345,623.75

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Solution

The third proportional to 32,076,922.50 and 46,345,623.75 is: 66,961,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076,922.50 : 46,345,623.75 = 46,345,623.75 : x
  2. Step 2: Convert to fraction form
    32,076,922.50/46,345,623.75 = 46,345,623.75/x
  3. Step 3: Cross multiply
    32,076,922.50x = 46,345,623.75 × 46,345,623.75
  4. Step 4: Simplify right side
    32,076,922.50x = 2,147,916,840,776,564
  5. Step 5: Solve for x
    x = 2,147,916,840,776,564/32,076,922.50
  6. Step 6: Final answer
    x = 66,961,437.49

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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.