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Finding the Third Proportional to 17,782,045,398 and 38,663,336,613.38

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Solution

The third proportional to 17,782,045,398 and 38,663,336,613.38 is: 84,065,334,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782,045,398 : 38,663,336,613.38 = 38,663,336,613.38 : x
  2. Step 2: Convert to fraction form
    17,782,045,398/38,663,336,613.38 = 38,663,336,613.38/x
  3. Step 3: Cross multiply
    17,782,045,398x = 38,663,336,613.38 × 38,663,336,613.38
  4. Step 4: Simplify right side
    17,782,045,398x = 1,494,853,598,079,143,903,232
  5. Step 5: Solve for x
    x = 1,494,853,598,079,143,903,232/17,782,045,398
  6. Step 6: Final answer
    x = 84,065,334,702.57

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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.