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Finding the Third Proportional to 16,278,575.50 and 35,387,615.50

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Solution

The third proportional to 16,278,575.50 and 35,387,615.50 is: 76,928,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278,575.50 : 35,387,615.50 = 35,387,615.50 : x
  2. Step 2: Convert to fraction form
    16,278,575.50/35,387,615.50 = 35,387,615.50/x
  3. Step 3: Cross multiply
    16,278,575.50x = 35,387,615.50 × 35,387,615.50
  4. Step 4: Simplify right side
    16,278,575.50x = 1,252,283,330,775,840.25
  5. Step 5: Solve for x
    x = 1,252,283,330,775,840.25/16,278,575.50
  6. Step 6: Final answer
    x = 76,928,311.74

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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.