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Finding the Third Proportional to 13,027,716 and 27,844,465.50

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Solution

The third proportional to 13,027,716 and 27,844,465.50 is: 59,512,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027,716 : 27,844,465.50 = 27,844,465.50 : x
  2. Step 2: Convert to fraction form
    13,027,716/27,844,465.50 = 27,844,465.50/x
  3. Step 3: Cross multiply
    13,027,716x = 27,844,465.50 × 27,844,465.50
  4. Step 4: Simplify right side
    13,027,716x = 775,314,258,980,690.25
  5. Step 5: Solve for x
    x = 775,314,258,980,690.25/13,027,716
  6. Step 6: Final answer
    x = 59,512,677.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.