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Finding the Third Proportional to 26,009,772 and 56,598,327.75

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Solution

The third proportional to 26,009,772 and 56,598,327.75 is: 123,160,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,009,772 : 56,598,327.75 = 56,598,327.75 : x
  2. Step 2: Convert to fraction form
    26,009,772/56,598,327.75 = 56,598,327.75/x
  3. Step 3: Cross multiply
    26,009,772x = 56,598,327.75 × 56,598,327.75
  4. Step 4: Simplify right side
    26,009,772x = 3,203,370,704,096,420
  5. Step 5: Solve for x
    x = 3,203,370,704,096,420/26,009,772
  6. Step 6: Final answer
    x = 123,160,276.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.