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Finding the Third Proportional to 2,551,168 and 5,413,312

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Solution

The third proportional to 2,551,168 and 5,413,312 is: 11,486,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551,168 : 5,413,312 = 5,413,312 : x
  2. Step 2: Convert to fraction form
    2,551,168/5,413,312 = 5,413,312/x
  3. Step 3: Cross multiply
    2,551,168x = 5,413,312 × 5,413,312
  4. Step 4: Simplify right side
    2,551,168x = 29,303,946,809,344
  5. Step 5: Solve for x
    x = 29,303,946,809,344/2,551,168
  6. Step 6: Final answer
    x = 11,486,482.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.