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Finding the Third Proportional to 80,710,284,509 and 173,398,235,051

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Solution

The third proportional to 80,710,284,509 and 173,398,235,051 is: 372,529,326,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,710,284,509 : 173,398,235,051 = 173,398,235,051 : x
  2. Step 2: Convert to fraction form
    80,710,284,509/173,398,235,051 = 173,398,235,051/x
  3. Step 3: Cross multiply
    80,710,284,509x = 173,398,235,051 × 173,398,235,051
  4. Step 4: Simplify right side
    80,710,284,509x = 30,066,947,918,801,846,403,072
  5. Step 5: Solve for x
    x = 30,066,947,918,801,846,403,072/80,710,284,509
  6. Step 6: Final answer
    x = 372,529,326,364.21

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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.