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Finding the Third Proportional to 629,860,634 and 1,374,334,324

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Solution

The third proportional to 629,860,634 and 1,374,334,324 is: 2,998,750,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,860,634 : 1,374,334,324 = 1,374,334,324 : x
  2. Step 2: Convert to fraction form
    629,860,634/1,374,334,324 = 1,374,334,324/x
  3. Step 3: Cross multiply
    629,860,634x = 1,374,334,324 × 1,374,334,324
  4. Step 4: Simplify right side
    629,860,634x = 1,888,794,834,124,537,088
  5. Step 5: Solve for x
    x = 1,888,794,834,124,537,088/629,860,634
  6. Step 6: Final answer
    x = 2,998,750,409.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.