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Finding the Third Proportional to 27,139,617 and 41,969,218.50

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Solution

The third proportional to 27,139,617 and 41,969,218.50 is: 64,901,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,139,617 : 41,969,218.50 = 41,969,218.50 : x
  2. Step 2: Convert to fraction form
    27,139,617/41,969,218.50 = 41,969,218.50/x
  3. Step 3: Cross multiply
    27,139,617x = 41,969,218.50 × 41,969,218.50
  4. Step 4: Simplify right side
    27,139,617x = 1,761,415,301,500,742.25
  5. Step 5: Solve for x
    x = 1,761,415,301,500,742.25/27,139,617
  6. Step 6: Final answer
    x = 64,901,995.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.