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Finding the Third Proportional to 32,116,930,013 and 69,570,699,898

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Solution

The third proportional to 32,116,930,013 and 69,570,699,898 is: 150,701,897,171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116,930,013 : 69,570,699,898 = 69,570,699,898 : x
  2. Step 2: Convert to fraction form
    32,116,930,013/69,570,699,898 = 69,570,699,898/x
  3. Step 3: Cross multiply
    32,116,930,013x = 69,570,699,898 × 69,570,699,898
  4. Step 4: Simplify right side
    32,116,930,013x = 4,840,082,284,297,577,299,968
  5. Step 5: Solve for x
    x = 4,840,082,284,297,577,299,968/32,116,930,013
  6. Step 6: Final answer
    x = 150,701,897,171.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.