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Finding the Third Proportional to 16,000,584 and 25,418,052

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Solution

The third proportional to 16,000,584 and 25,418,052 is: 40,378,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000,584 : 25,418,052 = 25,418,052 : x
  2. Step 2: Convert to fraction form
    16,000,584/25,418,052 = 25,418,052/x
  3. Step 3: Cross multiply
    16,000,584x = 25,418,052 × 25,418,052
  4. Step 4: Simplify right side
    16,000,584x = 646,077,367,474,704
  5. Step 5: Solve for x
    x = 646,077,367,474,704/16,000,584
  6. Step 6: Final answer
    x = 40,378,361.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.