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Finding the Third Proportional to 9,964,703.25 and 16,271,324.25

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Solution

The third proportional to 9,964,703.25 and 16,271,324.25 is: 26,569,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964,703.25 : 16,271,324.25 = 16,271,324.25 : x
  2. Step 2: Convert to fraction form
    9,964,703.25/16,271,324.25 = 16,271,324.25/x
  3. Step 3: Cross multiply
    9,964,703.25x = 16,271,324.25 × 16,271,324.25
  4. Step 4: Simplify right side
    9,964,703.25x = 264,755,992,848,638.06
  5. Step 5: Solve for x
    x = 264,755,992,848,638.06/9,964,703.25
  6. Step 6: Final answer
    x = 26,569,380.56

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.