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Finding the Third Proportional to 67,536,402.75 and 137,457,553.50

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Solution

The third proportional to 67,536,402.75 and 137,457,553.50 is: 279,768,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,536,402.75 : 137,457,553.50 = 137,457,553.50 : x
  2. Step 2: Convert to fraction form
    67,536,402.75/137,457,553.50 = 137,457,553.50/x
  3. Step 3: Cross multiply
    67,536,402.75x = 137,457,553.50 × 137,457,553.50
  4. Step 4: Simplify right side
    67,536,402.75x = 18,894,579,014,205,364
  5. Step 5: Solve for x
    x = 18,894,579,014,205,364/67,536,402.75
  6. Step 6: Final answer
    x = 279,768,809.78

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.