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Finding the Third Proportional to 31,773,034,728 and 69,130,981,236.65

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Solution

The third proportional to 31,773,034,728 and 69,130,981,236.65 is: 150,413,475,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773,034,728 : 69,130,981,236.65 = 69,130,981,236.65 : x
  2. Step 2: Convert to fraction form
    31,773,034,728/69,130,981,236.65 = 69,130,981,236.65/x
  3. Step 3: Cross multiply
    31,773,034,728x = 69,130,981,236.65 × 69,130,981,236.65
  4. Step 4: Simplify right side
    31,773,034,728x = 4,779,092,566,742,608,642,048
  5. Step 5: Solve for x
    x = 4,779,092,566,742,608,642,048/31,773,034,728
  6. Step 6: Final answer
    x = 150,413,475,063.21

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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.