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Finding the Third Proportional to 23,076,094.50 and 49,240,840.50

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Solution

The third proportional to 23,076,094.50 and 49,240,840.50 is: 105,072,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076,094.50 : 49,240,840.50 = 49,240,840.50 : x
  2. Step 2: Convert to fraction form
    23,076,094.50/49,240,840.50 = 49,240,840.50/x
  3. Step 3: Cross multiply
    23,076,094.50x = 49,240,840.50 × 49,240,840.50
  4. Step 4: Simplify right side
    23,076,094.50x = 2,424,660,373,146,440
  5. Step 5: Solve for x
    x = 2,424,660,373,146,440/23,076,094.50
  6. Step 6: Final answer
    x = 105,072,388.79

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Why These Related Problems?

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