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Finding the Third Proportional to 3,872,582 and 8,416,819

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Solution

The third proportional to 3,872,582 and 8,416,819 is: 18,293,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872,582 : 8,416,819 = 8,416,819 : x
  2. Step 2: Convert to fraction form
    3,872,582/8,416,819 = 8,416,819/x
  3. Step 3: Cross multiply
    3,872,582x = 8,416,819 × 8,416,819
  4. Step 4: Simplify right side
    3,872,582x = 70,842,842,078,761
  5. Step 5: Solve for x
    x = 70,842,842,078,761/3,872,582
  6. Step 6: Final answer
    x = 18,293,438.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.