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Finding the Third Proportional to 51,190,824 and 72,433,437

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Solution

The third proportional to 51,190,824 and 72,433,437 is: 102,491,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,190,824 : 72,433,437 = 72,433,437 : x
  2. Step 2: Convert to fraction form
    51,190,824/72,433,437 = 72,433,437/x
  3. Step 3: Cross multiply
    51,190,824x = 72,433,437 × 72,433,437
  4. Step 4: Simplify right side
    51,190,824x = 5,246,602,795,632,969
  5. Step 5: Solve for x
    x = 5,246,602,795,632,969/51,190,824
  6. Step 6: Final answer
    x = 102,491,079.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.