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Finding the Third Proportional to 51,190,820.44 and 72,433,432.41

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Solution

The third proportional to 51,190,820.44 and 72,433,432.41 is: 102,491,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,190,820.44 : 72,433,432.41 = 72,433,432.41 : x
  2. Step 2: Convert to fraction form
    51,190,820.44/72,433,432.41 = 72,433,432.41/x
  3. Step 3: Cross multiply
    51,190,820.44x = 72,433,432.41 × 72,433,432.41
  4. Step 4: Simplify right side
    51,190,820.44x = 5,246,602,130,150,788
  5. Step 5: Solve for x
    x = 5,246,602,130,150,788/51,190,820.44
  6. Step 6: Final answer
    x = 102,491,073.31

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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.