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Finding the Third Proportional to 224,086,979,682 and 483,953,008,174

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Solution

The third proportional to 224,086,979,682 and 483,953,008,174 is: 1,045,176,807,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,086,979,682 : 483,953,008,174 = 483,953,008,174 : x
  2. Step 2: Convert to fraction form
    224,086,979,682/483,953,008,174 = 483,953,008,174/x
  3. Step 3: Cross multiply
    224,086,979,682x = 483,953,008,174 × 483,953,008,174
  4. Step 4: Simplify right side
    224,086,979,682x = 234,210,514,120,663,703,224,320
  5. Step 5: Solve for x
    x = 234,210,514,120,663,703,224,320/224,086,979,682
  6. Step 6: Final answer
    x = 1,045,176,807,920.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.