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Finding the Third Proportional to 26,076,978 and 56,694,046.50

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Solution

The third proportional to 26,076,978 and 56,694,046.50 is: 123,258,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,076,978 : 56,694,046.50 = 56,694,046.50 : x
  2. Step 2: Convert to fraction form
    26,076,978/56,694,046.50 = 56,694,046.50/x
  3. Step 3: Cross multiply
    26,076,978x = 56,694,046.50 × 56,694,046.50
  4. Step 4: Simplify right side
    26,076,978x = 3,214,214,908,544,162
  5. Step 5: Solve for x
    x = 3,214,214,908,544,162/26,076,978
  6. Step 6: Final answer
    x = 123,258,719.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.