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Finding the Third Proportional to 343,372,911 and 743,747,790

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Solution

The third proportional to 343,372,911 and 743,747,790 is: 1,610,962,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,372,911 : 743,747,790 = 743,747,790 : x
  2. Step 2: Convert to fraction form
    343,372,911/743,747,790 = 743,747,790/x
  3. Step 3: Cross multiply
    343,372,911x = 743,747,790 × 743,747,790
  4. Step 4: Simplify right side
    343,372,911x = 553,160,775,129,884,096
  5. Step 5: Solve for x
    x = 553,160,775,129,884,096/343,372,911
  6. Step 6: Final answer
    x = 1,610,962,185.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.