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Finding the Third Proportional to 82,908,673 and 177,464,045

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Solution

The third proportional to 82,908,673 and 177,464,045 is: 379,857,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,908,673 : 177,464,045 = 177,464,045 : x
  2. Step 2: Convert to fraction form
    82,908,673/177,464,045 = 177,464,045/x
  3. Step 3: Cross multiply
    82,908,673x = 177,464,045 × 177,464,045
  4. Step 4: Simplify right side
    82,908,673x = 31,493,487,267,762,024
  5. Step 5: Solve for x
    x = 31,493,487,267,762,024/82,908,673
  6. Step 6: Final answer
    x = 379,857,572.53

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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.