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Finding the Third Proportional to 34,540,751 and 74,462,069

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Solution

The third proportional to 34,540,751 and 74,462,069 is: 160,523,426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,540,751 : 74,462,069 = 74,462,069 : x
  2. Step 2: Convert to fraction form
    34,540,751/74,462,069 = 74,462,069/x
  3. Step 3: Cross multiply
    34,540,751x = 74,462,069 × 74,462,069
  4. Step 4: Simplify right side
    34,540,751x = 5,544,599,719,760,761
  5. Step 5: Solve for x
    x = 5,544,599,719,760,761/34,540,751
  6. Step 6: Final answer
    x = 160,523,426.94

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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.