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Finding the Third Proportional to 633,131,824 and 1,374,552,224

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Solution

The third proportional to 633,131,824 and 1,374,552,224 is: 2,984,202,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,131,824 : 1,374,552,224 = 1,374,552,224 : x
  2. Step 2: Convert to fraction form
    633,131,824/1,374,552,224 = 1,374,552,224/x
  3. Step 3: Cross multiply
    633,131,824x = 1,374,552,224 × 1,374,552,224
  4. Step 4: Simplify right side
    633,131,824x = 1,889,393,816,503,346,176
  5. Step 5: Solve for x
    x = 1,889,393,816,503,346,176/633,131,824
  6. Step 6: Final answer
    x = 2,984,202,886.16

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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.