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Finding the Third Proportional to 34,947,931.50 and 54,703,546.50

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Solution

The third proportional to 34,947,931.50 and 54,703,546.50 is: 85,626,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,947,931.50 : 54,703,546.50 = 54,703,546.50 : x
  2. Step 2: Convert to fraction form
    34,947,931.50/54,703,546.50 = 54,703,546.50/x
  3. Step 3: Cross multiply
    34,947,931.50x = 54,703,546.50 × 54,703,546.50
  4. Step 4: Simplify right side
    34,947,931.50x = 2,992,477,999,677,662
  5. Step 5: Solve for x
    x = 2,992,477,999,677,662/34,947,931.50
  6. Step 6: Final answer
    x = 85,626,755.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.