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Finding the Third Proportional to 38,226,135 and 82,537,974

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Solution

The third proportional to 38,226,135 and 82,537,974 is: 178,216,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,226,135 : 82,537,974 = 82,537,974 : x
  2. Step 2: Convert to fraction form
    38,226,135/82,537,974 = 82,537,974/x
  3. Step 3: Cross multiply
    38,226,135x = 82,537,974 × 82,537,974
  4. Step 4: Simplify right side
    38,226,135x = 6,812,517,152,024,676
  5. Step 5: Solve for x
    x = 6,812,517,152,024,676/38,226,135
  6. Step 6: Final answer
    x = 178,216,216.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.