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Finding the Third Proportional to 184,514,387 and 406,638,679

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Solution

The third proportional to 184,514,387 and 406,638,679 is: 896,163,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,514,387 : 406,638,679 = 406,638,679 : x
  2. Step 2: Convert to fraction form
    184,514,387/406,638,679 = 406,638,679/x
  3. Step 3: Cross multiply
    184,514,387x = 406,638,679 × 406,638,679
  4. Step 4: Simplify right side
    184,514,387x = 165,355,015,258,865,056
  5. Step 5: Solve for x
    x = 165,355,015,258,865,056/184,514,387
  6. Step 6: Final answer
    x = 896,163,263.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.