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Finding the Third Proportional to 3,686,116 and 7,666,416

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Solution

The third proportional to 3,686,116 and 7,666,416 is: 15,944,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,116 : 7,666,416 = 7,666,416 : x
  2. Step 2: Convert to fraction form
    3,686,116/7,666,416 = 7,666,416/x
  3. Step 3: Cross multiply
    3,686,116x = 7,666,416 × 7,666,416
  4. Step 4: Simplify right side
    3,686,116x = 58,773,934,285,056
  5. Step 5: Solve for x
    x = 58,773,934,285,056/3,686,116
  6. Step 6: Final answer
    x = 15,944,678.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.