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Finding the Third Proportional to 17,782,045,403 and 38,663,336,620

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Solution

The third proportional to 17,782,045,403 and 38,663,336,620 is: 84,065,334,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782,045,403 : 38,663,336,620 = 38,663,336,620 : x
  2. Step 2: Convert to fraction form
    17,782,045,403/38,663,336,620 = 38,663,336,620/x
  3. Step 3: Cross multiply
    17,782,045,403x = 38,663,336,620 × 38,663,336,620
  4. Step 4: Simplify right side
    17,782,045,403x = 1,494,853,598,591,433,048,064
  5. Step 5: Solve for x
    x = 1,494,853,598,591,433,048,064/17,782,045,403
  6. Step 6: Final answer
    x = 84,065,334,707.74

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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.