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Finding the Third Proportional to 16,748,224.50 and 36,278,817

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Solution

The third proportional to 16,748,224.50 and 36,278,817 is: 78,584,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,748,224.50 : 36,278,817 = 36,278,817 : x
  2. Step 2: Convert to fraction form
    16,748,224.50/36,278,817 = 36,278,817/x
  3. Step 3: Cross multiply
    16,748,224.50x = 36,278,817 × 36,278,817
  4. Step 4: Simplify right side
    16,748,224.50x = 1,316,152,562,919,489
  5. Step 5: Solve for x
    x = 1,316,152,562,919,489/16,748,224.50
  6. Step 6: Final answer
    x = 78,584,602.38

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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.