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Finding the Third Proportional to 80,710,284,511 and 173,398,235,055

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Solution

The third proportional to 80,710,284,511 and 173,398,235,055 is: 372,529,326,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,710,284,511 : 173,398,235,055 = 173,398,235,055 : x
  2. Step 2: Convert to fraction form
    80,710,284,511/173,398,235,055 = 173,398,235,055/x
  3. Step 3: Cross multiply
    80,710,284,511x = 173,398,235,055 × 173,398,235,055
  4. Step 4: Simplify right side
    80,710,284,511x = 30,066,947,920,189,032,759,296
  5. Step 5: Solve for x
    x = 30,066,947,920,189,032,759,296/80,710,284,511
  6. Step 6: Final answer
    x = 372,529,326,372.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.