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Finding the Third Proportional to 64,374,007 and 137,952,367

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Solution

The third proportional to 64,374,007 and 137,952,367 is: 295,629,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,374,007 : 137,952,367 = 137,952,367 : x
  2. Step 2: Convert to fraction form
    64,374,007/137,952,367 = 137,952,367/x
  3. Step 3: Cross multiply
    64,374,007x = 137,952,367 × 137,952,367
  4. Step 4: Simplify right side
    64,374,007x = 19,030,855,560,902,688
  5. Step 5: Solve for x
    x = 19,030,855,560,902,688/64,374,007
  6. Step 6: Final answer
    x = 295,629,500.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.