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Finding the Third Proportional to 24,570,981 and 53,463,477

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Solution

The third proportional to 24,570,981 and 53,463,477 is: 116,330,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,570,981 : 53,463,477 = 53,463,477 : x
  2. Step 2: Convert to fraction form
    24,570,981/53,463,477 = 53,463,477/x
  3. Step 3: Cross multiply
    24,570,981x = 53,463,477 × 53,463,477
  4. Step 4: Simplify right side
    24,570,981x = 2,858,343,372,929,529
  5. Step 5: Solve for x
    x = 2,858,343,372,929,529/24,570,981
  6. Step 6: Final answer
    x = 116,330,046.93

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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.