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Finding the Third Proportional to 643,860,320 and 1,394,684,416

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Solution

The third proportional to 643,860,320 and 1,394,684,416 is: 3,021,066,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,860,320 : 1,394,684,416 = 1,394,684,416 : x
  2. Step 2: Convert to fraction form
    643,860,320/1,394,684,416 = 1,394,684,416/x
  3. Step 3: Cross multiply
    643,860,320x = 1,394,684,416 × 1,394,684,416
  4. Step 4: Simplify right side
    643,860,320x = 1,945,144,620,233,261,056
  5. Step 5: Solve for x
    x = 1,945,144,620,233,261,056/643,860,320
  6. Step 6: Final answer
    x = 3,021,066,153.34

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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.