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Finding the Third Proportional to 64,915,824 and 137,075,016

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Solution

The third proportional to 64,915,824 and 137,075,016 is: 289,444,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,915,824 : 137,075,016 = 137,075,016 : x
  2. Step 2: Convert to fraction form
    64,915,824/137,075,016 = 137,075,016/x
  3. Step 3: Cross multiply
    64,915,824x = 137,075,016 × 137,075,016
  4. Step 4: Simplify right side
    64,915,824x = 18,789,560,011,400,256
  5. Step 5: Solve for x
    x = 18,789,560,011,400,256/64,915,824
  6. Step 6: Final answer
    x = 289,444,989.74

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.