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Finding the Third Proportional to 41,749,835.06 and 86,363,546.63

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Solution

The third proportional to 41,749,835.06 and 86,363,546.63 is: 178,651,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,749,835.06 : 86,363,546.63 = 86,363,546.63 : x
  2. Step 2: Convert to fraction form
    41,749,835.06/86,363,546.63 = 86,363,546.63/x
  3. Step 3: Cross multiply
    41,749,835.06x = 86,363,546.63 × 86,363,546.63
  4. Step 4: Simplify right side
    41,749,835.06x = 7,458,662,185,648,549
  5. Step 5: Solve for x
    x = 7,458,662,185,648,549/41,749,835.06
  6. Step 6: Final answer
    x = 178,651,297.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.