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Finding the Third Proportional to 603,747,613 and 1,304,433,212

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Solution

The third proportional to 603,747,613 and 1,304,433,212 is: 2,818,306,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,747,613 : 1,304,433,212 = 1,304,433,212 : x
  2. Step 2: Convert to fraction form
    603,747,613/1,304,433,212 = 1,304,433,212/x
  3. Step 3: Cross multiply
    603,747,613x = 1,304,433,212 × 1,304,433,212
  4. Step 4: Simplify right side
    603,747,613x = 1,701,546,004,568,636,928
  5. Step 5: Solve for x
    x = 1,701,546,004,568,636,928/603,747,613
  6. Step 6: Final answer
    x = 2,818,306,802.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.