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Finding the Third Proportional to 5,964,749 and 12,992,347

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Solution

The third proportional to 5,964,749 and 12,992,347 is: 28,299,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964,749 : 12,992,347 = 12,992,347 : x
  2. Step 2: Convert to fraction form
    5,964,749/12,992,347 = 12,992,347/x
  3. Step 3: Cross multiply
    5,964,749x = 12,992,347 × 12,992,347
  4. Step 4: Simplify right side
    5,964,749x = 168,801,080,568,409
  5. Step 5: Solve for x
    x = 168,801,080,568,409/5,964,749
  6. Step 6: Final answer
    x = 28,299,779.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.