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Finding the Third Proportional to 633,131,816 and 1,374,552,208

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Solution

The third proportional to 633,131,816 and 1,374,552,208 is: 2,984,202,854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,131,816 : 1,374,552,208 = 1,374,552,208 : x
  2. Step 2: Convert to fraction form
    633,131,816/1,374,552,208 = 1,374,552,208/x
  3. Step 3: Cross multiply
    633,131,816x = 1,374,552,208 × 1,374,552,208
  4. Step 4: Simplify right side
    633,131,816x = 1,889,393,772,517,675,264
  5. Step 5: Solve for x
    x = 1,889,393,772,517,675,264/633,131,816
  6. Step 6: Final answer
    x = 2,984,202,854.40

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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.