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Finding the Third Proportional to 9,964,707 and 16,271,331

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Solution

The third proportional to 9,964,707 and 16,271,331 is: 26,569,392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964,707 : 16,271,331 = 16,271,331 : x
  2. Step 2: Convert to fraction form
    9,964,707/16,271,331 = 16,271,331/x
  3. Step 3: Cross multiply
    9,964,707x = 16,271,331 × 16,271,331
  4. Step 4: Simplify right side
    9,964,707x = 264,756,212,511,561
  5. Step 5: Solve for x
    x = 264,756,212,511,561/9,964,707
  6. Step 6: Final answer
    x = 26,569,392.61

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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.