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Finding the Third Proportional to 8,531,823 and 12,072,267.75

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Solution

The third proportional to 8,531,823 and 12,072,267.75 is: 17,081,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531,823 : 12,072,267.75 = 12,072,267.75 : x
  2. Step 2: Convert to fraction form
    8,531,823/12,072,267.75 = 12,072,267.75/x
  3. Step 3: Cross multiply
    8,531,823x = 12,072,267.75 × 12,072,267.75
  4. Step 4: Simplify right side
    8,531,823x = 145,739,648,627,690.06
  5. Step 5: Solve for x
    x = 145,739,648,627,690.06/8,531,823
  6. Step 6: Final answer
    x = 17,081,888.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.