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Finding the Third Proportional to 54,790,140 and 82,257,294

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Solution

The third proportional to 54,790,140 and 82,257,294 is: 123,494,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,790,140 : 82,257,294 = 82,257,294 : x
  2. Step 2: Convert to fraction form
    54,790,140/82,257,294 = 82,257,294/x
  3. Step 3: Cross multiply
    54,790,140x = 82,257,294 × 82,257,294
  4. Step 4: Simplify right side
    54,790,140x = 6,766,262,416,202,436
  5. Step 5: Solve for x
    x = 6,766,262,416,202,436/54,790,140
  6. Step 6: Final answer
    x = 123,494,161.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.