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Finding the Third Proportional to 3,973,610 and 8,582,407

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Solution

The third proportional to 3,973,610 and 8,582,407 is: 18,536,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973,610 : 8,582,407 = 8,582,407 : x
  2. Step 2: Convert to fraction form
    3,973,610/8,582,407 = 8,582,407/x
  3. Step 3: Cross multiply
    3,973,610x = 8,582,407 × 8,582,407
  4. Step 4: Simplify right side
    3,973,610x = 73,657,709,913,649
  5. Step 5: Solve for x
    x = 73,657,709,913,649/3,973,610
  6. Step 6: Final answer
    x = 18,536,723.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.