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Finding the Third Proportional to 224,086,979,684 and 483,953,008,178

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Solution

The third proportional to 224,086,979,684 and 483,953,008,178 is: 1,045,176,807,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,086,979,684 : 483,953,008,178 = 483,953,008,178 : x
  2. Step 2: Convert to fraction form
    224,086,979,684/483,953,008,178 = 483,953,008,178/x
  3. Step 3: Cross multiply
    224,086,979,684x = 483,953,008,178 × 483,953,008,178
  4. Step 4: Simplify right side
    224,086,979,684x = 234,210,514,124,535,347,806,208
  5. Step 5: Solve for x
    x = 234,210,514,124,535,347,806,208/224,086,979,684
  6. Step 6: Final answer
    x = 1,045,176,807,928.83

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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.