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Finding the Third Proportional to 969,668,974.46 and 1,386,628,284.80

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Solution

The third proportional to 969,668,974.46 and 1,386,628,284.80 is: 1,982,880,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,668,974.46 : 1,386,628,284.80 = 1,386,628,284.80 : x
  2. Step 2: Convert to fraction form
    969,668,974.46/1,386,628,284.80 = 1,386,628,284.80/x
  3. Step 3: Cross multiply
    969,668,974.46x = 1,386,628,284.80 × 1,386,628,284.80
  4. Step 4: Simplify right side
    969,668,974.46x = 1,922,738,000,198,792,960
  5. Step 5: Solve for x
    x = 1,922,738,000,198,792,960/969,668,974.46
  6. Step 6: Final answer
    x = 1,982,880,808.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.