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Finding the Third Proportional to 54,011,124 and 77,180,616

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Solution

The third proportional to 54,011,124 and 77,180,616 is: 110,289,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,011,124 : 77,180,616 = 77,180,616 : x
  2. Step 2: Convert to fraction form
    54,011,124/77,180,616 = 77,180,616/x
  3. Step 3: Cross multiply
    54,011,124x = 77,180,616 × 77,180,616
  4. Step 4: Simplify right side
    54,011,124x = 5,956,847,486,139,456
  5. Step 5: Solve for x
    x = 5,956,847,486,139,456/54,011,124
  6. Step 6: Final answer
    x = 110,289,270.89

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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.