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Finding the Third Proportional to 4,856,816 and 10,658,416

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Solution

The third proportional to 4,856,816 and 10,658,416 is: 23,390,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856,816 : 10,658,416 = 10,658,416 : x
  2. Step 2: Convert to fraction form
    4,856,816/10,658,416 = 10,658,416/x
  3. Step 3: Cross multiply
    4,856,816x = 10,658,416 × 10,658,416
  4. Step 4: Simplify right side
    4,856,816x = 113,601,831,629,056
  5. Step 5: Solve for x
    x = 113,601,831,629,056/4,856,816
  6. Step 6: Final answer
    x = 23,390,186.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.