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Finding the Third Proportional to 327,164,940 and 700,288,470

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Solution

The third proportional to 327,164,940 and 700,288,470 is: 1,498,950,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,164,940 : 700,288,470 = 700,288,470 : x
  2. Step 2: Convert to fraction form
    327,164,940/700,288,470 = 700,288,470/x
  3. Step 3: Cross multiply
    327,164,940x = 700,288,470 × 700,288,470
  4. Step 4: Simplify right side
    327,164,940x = 490,403,941,214,940,928
  5. Step 5: Solve for x
    x = 490,403,941,214,940,928/327,164,940
  6. Step 6: Final answer
    x = 1,498,950,166.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.