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Finding the Third Proportional to 5,659,416 and 12,215,502

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Solution

The third proportional to 5,659,416 and 12,215,502 is: 26,366,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659,416 : 12,215,502 = 12,215,502 : x
  2. Step 2: Convert to fraction form
    5,659,416/12,215,502 = 12,215,502/x
  3. Step 3: Cross multiply
    5,659,416x = 12,215,502 × 12,215,502
  4. Step 4: Simplify right side
    5,659,416x = 149,218,489,112,004
  5. Step 5: Solve for x
    x = 149,218,489,112,004/5,659,416
  6. Step 6: Final answer
    x = 26,366,411.15

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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.