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Finding the Third Proportional to 2,369,968 and 5,099,594

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Solution

The third proportional to 2,369,968 and 5,099,594 is: 10,973,084.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369,968 : 5,099,594 = 5,099,594 : x
  2. Step 2: Convert to fraction form
    2,369,968/5,099,594 = 5,099,594/x
  3. Step 3: Cross multiply
    2,369,968x = 5,099,594 × 5,099,594
  4. Step 4: Simplify right side
    2,369,968x = 26,005,858,964,836
  5. Step 5: Solve for x
    x = 26,005,858,964,836/2,369,968
  6. Step 6: Final answer
    x = 10,973,084.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.