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Finding the Third Proportional to 23,076,596.25 and 49,242,208.50

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Solution

The third proportional to 23,076,596.25 and 49,242,208.50 is: 105,075,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076,596.25 : 49,242,208.50 = 49,242,208.50 : x
  2. Step 2: Convert to fraction form
    23,076,596.25/49,242,208.50 = 49,242,208.50/x
  3. Step 3: Cross multiply
    23,076,596.25x = 49,242,208.50 × 49,242,208.50
  4. Step 4: Simplify right side
    23,076,596.25x = 2,424,795,097,957,472
  5. Step 5: Solve for x
    x = 2,424,795,097,957,472/23,076,596.25
  6. Step 6: Final answer
    x = 105,075,942.38

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.