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Finding the Third Proportional to 44,732,993 and 97,839,441

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Solution

The third proportional to 44,732,993 and 97,839,441 is: 213,993,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,732,993 : 97,839,441 = 97,839,441 : x
  2. Step 2: Convert to fraction form
    44,732,993/97,839,441 = 97,839,441/x
  3. Step 3: Cross multiply
    44,732,993x = 97,839,441 × 97,839,441
  4. Step 4: Simplify right side
    44,732,993x = 9,572,556,215,192,480
  5. Step 5: Solve for x
    x = 9,572,556,215,192,480/44,732,993
  6. Step 6: Final answer
    x = 213,993,197.71

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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.