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Finding the Third Proportional to 1,668,205,041 and 3,594,758,178

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Solution

The third proportional to 1,668,205,041 and 3,594,758,178 is: 7,746,221,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,205,041 : 3,594,758,178 = 3,594,758,178 : x
  2. Step 2: Convert to fraction form
    1,668,205,041/3,594,758,178 = 3,594,758,178/x
  3. Step 3: Cross multiply
    1,668,205,041x = 3,594,758,178 × 3,594,758,178
  4. Step 4: Simplify right side
    1,668,205,041x = 12,922,286,358,297,880,576
  5. Step 5: Solve for x
    x = 12,922,286,358,297,880,576/1,668,205,041
  6. Step 6: Final answer
    x = 7,746,221,861.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.