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Finding the Third Proportional to 357,448,625 and 771,354,898

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Solution

The third proportional to 357,448,625 and 771,354,898 is: 1,664,542,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,448,625 : 771,354,898 = 771,354,898 : x
  2. Step 2: Convert to fraction form
    357,448,625/771,354,898 = 771,354,898/x
  3. Step 3: Cross multiply
    357,448,625x = 771,354,898 × 771,354,898
  4. Step 4: Simplify right side
    357,448,625x = 594,988,378,668,590,464
  5. Step 5: Solve for x
    x = 594,988,378,668,590,464/357,448,625
  6. Step 6: Final answer
    x = 1,664,542,362.33

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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.