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Finding the Third Proportional to 34,910,652.56 and 74,076,757.98

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Solution

The third proportional to 34,910,652.56 and 74,076,757.98 is: 157,183,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,910,652.56 : 74,076,757.98 = 74,076,757.98 : x
  2. Step 2: Convert to fraction form
    34,910,652.56/74,076,757.98 = 74,076,757.98/x
  3. Step 3: Cross multiply
    34,910,652.56x = 74,076,757.98 × 74,076,757.98
  4. Step 4: Simplify right side
    34,910,652.56x = 5,487,366,072,896,830
  5. Step 5: Solve for x
    x = 5,487,366,072,896,830/34,910,652.56
  6. Step 6: Final answer
    x = 157,183,142.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.