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Finding the Third Proportional to 10,787,025 and 23,174,895

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Solution

The third proportional to 10,787,025 and 23,174,895 is: 49,789,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787,025 : 23,174,895 = 23,174,895 : x
  2. Step 2: Convert to fraction form
    10,787,025/23,174,895 = 23,174,895/x
  3. Step 3: Cross multiply
    10,787,025x = 23,174,895 × 23,174,895
  4. Step 4: Simplify right side
    10,787,025x = 537,075,758,261,025
  5. Step 5: Solve for x
    x = 537,075,758,261,025/10,787,025
  6. Step 6: Final answer
    x = 49,789,052.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.