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Finding the Third Proportional to 25,273,264 and 49,286,816

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Solution

The third proportional to 25,273,264 and 49,286,816 is: 96,116,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,273,264 : 49,286,816 = 49,286,816 : x
  2. Step 2: Convert to fraction form
    25,273,264/49,286,816 = 49,286,816/x
  3. Step 3: Cross multiply
    25,273,264x = 49,286,816 × 49,286,816
  4. Step 4: Simplify right side
    25,273,264x = 2,429,190,231,417,856
  5. Step 5: Solve for x
    x = 2,429,190,231,417,856/25,273,264
  6. Step 6: Final answer
    x = 96,116,996.66

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.