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Finding the Third Proportional to 29,057,757,772 and 45,116,521,162

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Solution

The third proportional to 29,057,757,772 and 45,116,521,162 is: 70,050,156,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,057,757,772 : 45,116,521,162 = 45,116,521,162 : x
  2. Step 2: Convert to fraction form
    29,057,757,772/45,116,521,162 = 45,116,521,162/x
  3. Step 3: Cross multiply
    29,057,757,772x = 45,116,521,162 × 45,116,521,162
  4. Step 4: Simplify right side
    29,057,757,772x = 2,035,500,481,761,193,754,624
  5. Step 5: Solve for x
    x = 2,035,500,481,761,193,754,624/29,057,757,772
  6. Step 6: Final answer
    x = 70,050,156,578.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.