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Finding the Third Proportional to 343,372,905 and 743,747,778

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Solution

The third proportional to 343,372,905 and 743,747,778 is: 1,610,962,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,372,905 : 743,747,778 = 743,747,778 : x
  2. Step 2: Convert to fraction form
    343,372,905/743,747,778 = 743,747,778/x
  3. Step 3: Cross multiply
    343,372,905x = 743,747,778 × 743,747,778
  4. Step 4: Simplify right side
    343,372,905x = 553,160,757,279,937,280
  5. Step 5: Solve for x
    x = 553,160,757,279,937,280/343,372,905
  6. Step 6: Final answer
    x = 1,610,962,161.62

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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.