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Finding the Third Proportional to 82,434,993,903 and 178,558,415,358

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Solution

The third proportional to 82,434,993,903 and 178,558,415,358 is: 386,766,665,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,434,993,903 : 178,558,415,358 = 178,558,415,358 : x
  2. Step 2: Convert to fraction form
    82,434,993,903/178,558,415,358 = 178,558,415,358/x
  3. Step 3: Cross multiply
    82,434,993,903x = 178,558,415,358 × 178,558,415,358
  4. Step 4: Simplify right side
    82,434,993,903x = 31,883,107,695,160,048,222,208
  5. Step 5: Solve for x
    x = 31,883,107,695,160,048,222,208/82,434,993,903
  6. Step 6: Final answer
    x = 386,766,665,291.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.