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Finding the Third Proportional to 25,524,025 and 56,007,356

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Solution

The third proportional to 25,524,025 and 56,007,356 is: 122,896,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524,025 : 56,007,356 = 56,007,356 : x
  2. Step 2: Convert to fraction form
    25,524,025/56,007,356 = 56,007,356/x
  3. Step 3: Cross multiply
    25,524,025x = 56,007,356 × 56,007,356
  4. Step 4: Simplify right side
    25,524,025x = 3,136,823,926,110,736
  5. Step 5: Solve for x
    x = 3,136,823,926,110,736/25,524,025
  6. Step 6: Final answer
    x = 122,896,914.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.