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Finding the Third Proportional to 71,437,470 and 151,458,936

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Solution

The third proportional to 71,437,470 and 151,458,936 is: 321,117,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,437,470 : 151,458,936 = 151,458,936 : x
  2. Step 2: Convert to fraction form
    71,437,470/151,458,936 = 151,458,936/x
  3. Step 3: Cross multiply
    71,437,470x = 151,458,936 × 151,458,936
  4. Step 4: Simplify right side
    71,437,470x = 22,939,809,294,252,096
  5. Step 5: Solve for x
    x = 22,939,809,294,252,096/71,437,470
  6. Step 6: Final answer
    x = 321,117,325.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.