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Finding the Third Proportional to 10,865,025 and 23,025,438

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Solution

The third proportional to 10,865,025 and 23,025,438 is: 48,796,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865,025 : 23,025,438 = 23,025,438 : x
  2. Step 2: Convert to fraction form
    10,865,025/23,025,438 = 23,025,438/x
  3. Step 3: Cross multiply
    10,865,025x = 23,025,438 × 23,025,438
  4. Step 4: Simplify right side
    10,865,025x = 530,170,795,091,844
  5. Step 5: Solve for x
    x = 530,170,795,091,844/10,865,025
  6. Step 6: Final answer
    x = 48,796,095.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.