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Finding the Third Proportional to 77,591,880 and 116,711,766

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Solution

The third proportional to 77,591,880 and 116,711,766 is: 175,554,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,591,880 : 116,711,766 = 116,711,766 : x
  2. Step 2: Convert to fraction form
    77,591,880/116,711,766 = 116,711,766/x
  3. Step 3: Cross multiply
    77,591,880x = 116,711,766 × 116,711,766
  4. Step 4: Simplify right side
    77,591,880x = 13,621,636,322,838,756
  5. Step 5: Solve for x
    x = 13,621,636,322,838,756/77,591,880
  6. Step 6: Final answer
    x = 175,554,920.47

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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.