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Finding the Third Proportional to 606,805,668 and 1,331,723,160

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Solution

The third proportional to 606,805,668 and 1,331,723,160 is: 2,922,659,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,805,668 : 1,331,723,160 = 1,331,723,160 : x
  2. Step 2: Convert to fraction form
    606,805,668/1,331,723,160 = 1,331,723,160/x
  3. Step 3: Cross multiply
    606,805,668x = 1,331,723,160 × 1,331,723,160
  4. Step 4: Simplify right side
    606,805,668x = 1,773,486,574,880,385,536
  5. Step 5: Solve for x
    x = 1,773,486,574,880,385,536/606,805,668
  6. Step 6: Final answer
    x = 2,922,659,870.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.