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Finding the Third Proportional to 4,732,757.17 and 10,222,194.98

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Solution

The third proportional to 4,732,757.17 and 10,222,194.98 is: 22,078,730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,757.17 : 10,222,194.98 = 10,222,194.98 : x
  2. Step 2: Convert to fraction form
    4,732,757.17/10,222,194.98 = 10,222,194.98/x
  3. Step 3: Cross multiply
    4,732,757.17x = 10,222,194.98 × 10,222,194.98
  4. Step 4: Simplify right side
    4,732,757.17x = 104,493,270,148,846.67
  5. Step 5: Solve for x
    x = 104,493,270,148,846.67/4,732,757.17
  6. Step 6: Final answer
    x = 22,078,730.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.