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Finding the Third Proportional to 5,462,684 and 11,934,304

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Solution

The third proportional to 5,462,684 and 11,934,304 is: 26,072,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462,684 : 11,934,304 = 11,934,304 : x
  2. Step 2: Convert to fraction form
    5,462,684/11,934,304 = 11,934,304/x
  3. Step 3: Cross multiply
    5,462,684x = 11,934,304 × 11,934,304
  4. Step 4: Simplify right side
    5,462,684x = 142,427,611,964,416
  5. Step 5: Solve for x
    x = 142,427,611,964,416/5,462,684
  6. Step 6: Final answer
    x = 26,072,826.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.