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Finding the Third Proportional to 54,704,898 and 86,623,821

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Solution

The third proportional to 54,704,898 and 86,623,821 is: 137,166,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,704,898 : 86,623,821 = 86,623,821 : x
  2. Step 2: Convert to fraction form
    54,704,898/86,623,821 = 86,623,821/x
  3. Step 3: Cross multiply
    54,704,898x = 86,623,821 × 86,623,821
  4. Step 4: Simplify right side
    54,704,898x = 7,503,686,364,640,041
  5. Step 5: Solve for x
    x = 7,503,686,364,640,041/54,704,898
  6. Step 6: Final answer
    x = 137,166,627.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.