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Finding the Third Proportional to 5,477,463 and 11,820,966

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Solution

The third proportional to 5,477,463 and 11,820,966 is: 25,510,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477,463 : 11,820,966 = 11,820,966 : x
  2. Step 2: Convert to fraction form
    5,477,463/11,820,966 = 11,820,966/x
  3. Step 3: Cross multiply
    5,477,463x = 11,820,966 × 11,820,966
  4. Step 4: Simplify right side
    5,477,463x = 139,735,237,173,156
  5. Step 5: Solve for x
    x = 139,735,237,173,156/5,477,463
  6. Step 6: Final answer
    x = 25,510,941.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.