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Finding the Third Proportional to 224,086,979,680 and 483,953,008,169

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Solution

The third proportional to 224,086,979,680 and 483,953,008,169 is: 1,045,176,807,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,086,979,680 : 483,953,008,169 = 483,953,008,169 : x
  2. Step 2: Convert to fraction form
    224,086,979,680/483,953,008,169 = 483,953,008,169/x
  3. Step 3: Cross multiply
    224,086,979,680x = 483,953,008,169 × 483,953,008,169
  4. Step 4: Simplify right side
    224,086,979,680x = 234,210,514,115,824,181,051,392
  5. Step 5: Solve for x
    x = 234,210,514,115,824,181,051,392/224,086,979,680
  6. Step 6: Final answer
    x = 1,045,176,807,908.61

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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.