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Finding the Third Proportional to 4,471,872 and 6,973,488

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Solution

The third proportional to 4,471,872 and 6,973,488 is: 10,874,536.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471,872 : 6,973,488 = 6,973,488 : x
  2. Step 2: Convert to fraction form
    4,471,872/6,973,488 = 6,973,488/x
  3. Step 3: Cross multiply
    4,471,872x = 6,973,488 × 6,973,488
  4. Step 4: Simplify right side
    4,471,872x = 48,629,534,886,144
  5. Step 5: Solve for x
    x = 48,629,534,886,144/4,471,872
  6. Step 6: Final answer
    x = 10,874,536.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.