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Finding the Third Proportional to 31,811,276,769 and 69,207,664,230

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Solution

The third proportional to 31,811,276,769 and 69,207,664,230 is: 150,566,128,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,811,276,769 : 69,207,664,230 = 69,207,664,230 : x
  2. Step 2: Convert to fraction form
    31,811,276,769/69,207,664,230 = 69,207,664,230/x
  3. Step 3: Cross multiply
    31,811,276,769x = 69,207,664,230 × 69,207,664,230
  4. Step 4: Simplify right side
    31,811,276,769x = 4,789,700,788,172,421,595,136
  5. Step 5: Solve for x
    x = 4,789,700,788,172,421,595,136/31,811,276,769
  6. Step 6: Final answer
    x = 150,566,128,576.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.