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Finding the Third Proportional to 9,556,765,964 and 13,287,919,174

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Solution

The third proportional to 9,556,765,964 and 13,287,919,174 is: 18,475,789,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556,765,964 : 13,287,919,174 = 13,287,919,174 : x
  2. Step 2: Convert to fraction form
    9,556,765,964/13,287,919,174 = 13,287,919,174/x
  3. Step 3: Cross multiply
    9,556,765,964x = 13,287,919,174 × 13,287,919,174
  4. Step 4: Simplify right side
    9,556,765,964x = 176,568,795,974,756,827,136
  5. Step 5: Solve for x
    x = 176,568,795,974,756,827,136/9,556,765,964
  6. Step 6: Final answer
    x = 18,475,789,471.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.