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Finding the Third Proportional to 38,362,764 and 82,183,836

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Solution

The third proportional to 38,362,764 and 82,183,836 is: 176,060,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,362,764 : 82,183,836 = 82,183,836 : x
  2. Step 2: Convert to fraction form
    38,362,764/82,183,836 = 82,183,836/x
  3. Step 3: Cross multiply
    38,362,764x = 82,183,836 × 82,183,836
  4. Step 4: Simplify right side
    38,362,764x = 6,754,182,899,674,896
  5. Step 5: Solve for x
    x = 6,754,182,899,674,896/38,362,764
  6. Step 6: Final answer
    x = 176,060,903.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.