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Finding the Third Proportional to 64,915,826 and 137,075,020

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Solution

The third proportional to 64,915,826 and 137,075,020 is: 289,444,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,915,826 : 137,075,020 = 137,075,020 : x
  2. Step 2: Convert to fraction form
    64,915,826/137,075,020 = 137,075,020/x
  3. Step 3: Cross multiply
    64,915,826x = 137,075,020 × 137,075,020
  4. Step 4: Simplify right side
    64,915,826x = 18,789,561,108,000,400
  5. Step 5: Solve for x
    x = 18,789,561,108,000,400/64,915,826
  6. Step 6: Final answer
    x = 289,444,997.71

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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.