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Finding the Third Proportional to 38,582,655,196.50 and 82,747,835,658

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Solution

The third proportional to 38,582,655,196.50 and 82,747,835,658 is: 177,468,457,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,582,655,196.50 : 82,747,835,658 = 82,747,835,658 : x
  2. Step 2: Convert to fraction form
    38,582,655,196.50/82,747,835,658 = 82,747,835,658/x
  3. Step 3: Cross multiply
    38,582,655,196.50x = 82,747,835,658 × 82,747,835,658
  4. Step 4: Simplify right side
    38,582,655,196.50x = 6,847,204,306,083,376,005,120
  5. Step 5: Solve for x
    x = 6,847,204,306,083,376,005,120/38,582,655,196.50
  6. Step 6: Final answer
    x = 177,468,457,554.59

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