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Finding the Third Proportional to 27,634,035.75 and 43,344,324

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Solution

The third proportional to 27,634,035.75 and 43,344,324 is: 67,986,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634,035.75 : 43,344,324 = 43,344,324 : x
  2. Step 2: Convert to fraction form
    27,634,035.75/43,344,324 = 43,344,324/x
  3. Step 3: Cross multiply
    27,634,035.75x = 43,344,324 × 43,344,324
  4. Step 4: Simplify right side
    27,634,035.75x = 1,878,730,423,016,976
  5. Step 5: Solve for x
    x = 1,878,730,423,016,976/27,634,035.75
  6. Step 6: Final answer
    x = 67,986,103.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.