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Finding the Third Proportional to 6,446,216.67 and 9,669,325.01

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Solution

The third proportional to 6,446,216.67 and 9,669,325.01 is: 14,503,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446,216.67 : 9,669,325.01 = 9,669,325.01 : x
  2. Step 2: Convert to fraction form
    6,446,216.67/9,669,325.01 = 9,669,325.01/x
  3. Step 3: Cross multiply
    6,446,216.67x = 9,669,325.01 × 9,669,325.01
  4. Step 4: Simplify right side
    6,446,216.67x = 93,495,846,106,706.27
  5. Step 5: Solve for x
    x = 93,495,846,106,706.27/6,446,216.67
  6. Step 6: Final answer
    x = 14,503,987.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.