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Finding the Third Proportional to 357,257,744 and 773,880,662

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Solution

The third proportional to 357,257,744 and 773,880,662 is: 1,676,356,325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,257,744 : 773,880,662 = 773,880,662 : x
  2. Step 2: Convert to fraction form
    357,257,744/773,880,662 = 773,880,662/x
  3. Step 3: Cross multiply
    357,257,744x = 773,880,662 × 773,880,662
  4. Step 4: Simplify right side
    357,257,744x = 598,891,279,017,558,272
  5. Step 5: Solve for x
    x = 598,891,279,017,558,272/357,257,744
  6. Step 6: Final answer
    x = 1,676,356,325.58

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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.