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Finding the Third Proportional to 34,520,014 and 74,420,010

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Solution

The third proportional to 34,520,014 and 74,420,010 is: 160,438,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,520,014 : 74,420,010 = 74,420,010 : x
  2. Step 2: Convert to fraction form
    34,520,014/74,420,010 = 74,420,010/x
  3. Step 3: Cross multiply
    34,520,014x = 74,420,010 × 74,420,010
  4. Step 4: Simplify right side
    34,520,014x = 5,538,337,888,400,100
  5. Step 5: Solve for x
    x = 5,538,337,888,400,100/34,520,014
  6. Step 6: Final answer
    x = 160,438,460.09

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