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Finding the Third Proportional to 3,004,853 and 7,086,157

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Solution

The third proportional to 3,004,853 and 7,086,157 is: 16,710,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004,853 : 7,086,157 = 7,086,157 : x
  2. Step 2: Convert to fraction form
    3,004,853/7,086,157 = 7,086,157/x
  3. Step 3: Cross multiply
    3,004,853x = 7,086,157 × 7,086,157
  4. Step 4: Simplify right side
    3,004,853x = 50,213,621,028,649
  5. Step 5: Solve for x
    x = 50,213,621,028,649/3,004,853
  6. Step 6: Final answer
    x = 16,710,841.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.