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Finding the Third Proportional to 41,139,657 and 85,684,336.31

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Solution

The third proportional to 41,139,657 and 85,684,336.31 is: 178,460,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,139,657 : 85,684,336.31 = 85,684,336.31 : x
  2. Step 2: Convert to fraction form
    41,139,657/85,684,336.31 = 85,684,336.31/x
  3. Step 3: Cross multiply
    41,139,657x = 85,684,336.31 × 85,684,336.31
  4. Step 4: Simplify right side
    41,139,657x = 7,341,805,489,313,606
  5. Step 5: Solve for x
    x = 7,341,805,489,313,606/41,139,657
  6. Step 6: Final answer
    x = 178,460,542.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.