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Finding the Third Proportional to 464,192,970.75 and 694,449,018

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Solution

The third proportional to 464,192,970.75 and 694,449,018 is: 1,038,920,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,192,970.75 : 694,449,018 = 694,449,018 : x
  2. Step 2: Convert to fraction form
    464,192,970.75/694,449,018 = 694,449,018/x
  3. Step 3: Cross multiply
    464,192,970.75x = 694,449,018 × 694,449,018
  4. Step 4: Simplify right side
    464,192,970.75x = 482,259,438,601,164,352
  5. Step 5: Solve for x
    x = 482,259,438,601,164,352/464,192,970.75
  6. Step 6: Final answer
    x = 1,038,920,166.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.