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Finding the Third Proportional to 84,044,612 and 184,032,456

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Solution

The third proportional to 84,044,612 and 184,032,456 is: 402,975,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,044,612 : 184,032,456 = 184,032,456 : x
  2. Step 2: Convert to fraction form
    84,044,612/184,032,456 = 184,032,456/x
  3. Step 3: Cross multiply
    84,044,612x = 184,032,456 × 184,032,456
  4. Step 4: Simplify right side
    84,044,612x = 33,867,944,861,391,936
  5. Step 5: Solve for x
    x = 33,867,944,861,391,936/84,044,612
  6. Step 6: Final answer
    x = 402,975,801.25

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