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Finding the Third Proportional to 35,757,513 and 77,180,449

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Solution

The third proportional to 35,757,513 and 77,180,449 is: 166,589,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,757,513 : 77,180,449 = 77,180,449 : x
  2. Step 2: Convert to fraction form
    35,757,513/77,180,449 = 77,180,449/x
  3. Step 3: Cross multiply
    35,757,513x = 77,180,449 × 77,180,449
  4. Step 4: Simplify right side
    35,757,513x = 5,956,821,707,841,601
  5. Step 5: Solve for x
    x = 5,956,821,707,841,601/35,757,513
  6. Step 6: Final answer
    x = 166,589,374.04

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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.