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Finding the Third Proportional to 41,876,824 and 92,020,046

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Solution

The third proportional to 41,876,824 and 92,020,046 is: 202,204,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,876,824 : 92,020,046 = 92,020,046 : x
  2. Step 2: Convert to fraction form
    41,876,824/92,020,046 = 92,020,046/x
  3. Step 3: Cross multiply
    41,876,824x = 92,020,046 × 92,020,046
  4. Step 4: Simplify right side
    41,876,824x = 8,467,688,865,842,116
  5. Step 5: Solve for x
    x = 8,467,688,865,842,116/41,876,824
  6. Step 6: Final answer
    x = 202,204,657.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.