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Finding the Third Proportional to 64,373,997 and 137,952,345

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Solution

The third proportional to 64,373,997 and 137,952,345 is: 295,629,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,373,997 : 137,952,345 = 137,952,345 : x
  2. Step 2: Convert to fraction form
    64,373,997/137,952,345 = 137,952,345/x
  3. Step 3: Cross multiply
    64,373,997x = 137,952,345 × 137,952,345
  4. Step 4: Simplify right side
    64,373,997x = 19,030,849,490,999,024
  5. Step 5: Solve for x
    x = 19,030,849,490,999,024/64,373,997
  6. Step 6: Final answer
    x = 295,629,452.54

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