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Finding the Third Proportional to 54,864,549.50 and 82,027,823.50

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Solution

The third proportional to 54,864,549.50 and 82,027,823.50 is: 122,639,553.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,864,549.50 : 82,027,823.50 = 82,027,823.50 : x
  2. Step 2: Convert to fraction form
    54,864,549.50/82,027,823.50 = 82,027,823.50/x
  3. Step 3: Cross multiply
    54,864,549.50x = 82,027,823.50 × 82,027,823.50
  4. Step 4: Simplify right side
    54,864,549.50x = 6,728,563,828,147,152
  5. Step 5: Solve for x
    x = 6,728,563,828,147,152/54,864,549.50
  6. Step 6: Final answer
    x = 122,639,553.04

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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.