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Finding the Third Proportional to 1,508,668,116 and 2,253,711,366

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Solution

The third proportional to 1,508,668,116 and 2,253,711,366 is: 3,366,688,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508,668,116 : 2,253,711,366 = 2,253,711,366 : x
  2. Step 2: Convert to fraction form
    1,508,668,116/2,253,711,366 = 2,253,711,366/x
  3. Step 3: Cross multiply
    1,508,668,116x = 2,253,711,366 × 2,253,711,366
  4. Step 4: Simplify right side
    1,508,668,116x = 5,079,214,921,237,585,920
  5. Step 5: Solve for x
    x = 5,079,214,921,237,585,920/1,508,668,116
  6. Step 6: Final answer
    x = 3,366,688,052.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.