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Finding the Third Proportional to 66,824,373 and 106,331,755.50

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Solution

The third proportional to 66,824,373 and 106,331,755.50 is: 169,196,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,824,373 : 106,331,755.50 = 106,331,755.50 : x
  2. Step 2: Convert to fraction form
    66,824,373/106,331,755.50 = 106,331,755.50/x
  3. Step 3: Cross multiply
    66,824,373x = 106,331,755.50 × 106,331,755.50
  4. Step 4: Simplify right side
    66,824,373x = 11,306,442,227,711,780
  5. Step 5: Solve for x
    x = 11,306,442,227,711,780/66,824,373
  6. Step 6: Final answer
    x = 169,196,383.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.