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Finding the Third Proportional to 54,011,147.63 and 77,180,684.63

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Solution

The third proportional to 54,011,147.63 and 77,180,684.63 is: 110,289,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,011,147.63 : 77,180,684.63 = 77,180,684.63 : x
  2. Step 2: Convert to fraction form
    54,011,147.63/77,180,684.63 = 77,180,684.63/x
  3. Step 3: Cross multiply
    54,011,147.63x = 77,180,684.63 × 77,180,684.63
  4. Step 4: Simplify right side
    54,011,147.63x = 5,956,858,079,183,711
  5. Step 5: Solve for x
    x = 5,956,858,079,183,711/54,011,147.63
  6. Step 6: Final answer
    x = 110,289,418.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.