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Finding the Third Proportional to 54,390,745.69 and 84,343,378.78

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Solution

The third proportional to 54,390,745.69 and 84,343,378.78 is: 130,790,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,390,745.69 : 84,343,378.78 = 84,343,378.78 : x
  2. Step 2: Convert to fraction form
    54,390,745.69/84,343,378.78 = 84,343,378.78/x
  3. Step 3: Cross multiply
    54,390,745.69x = 84,343,378.78 × 84,343,378.78
  4. Step 4: Simplify right side
    54,390,745.69x = 7,113,805,544,237,413
  5. Step 5: Solve for x
    x = 7,113,805,544,237,413/54,390,745.69
  6. Step 6: Final answer
    x = 130,790,733.87

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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.