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Finding the Third Proportional to 123,540,072 and 263,495,496

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Solution

The third proportional to 123,540,072 and 263,495,496 is: 562,002,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,540,072 : 263,495,496 = 263,495,496 : x
  2. Step 2: Convert to fraction form
    123,540,072/263,495,496 = 263,495,496/x
  3. Step 3: Cross multiply
    123,540,072x = 263,495,496 × 263,495,496
  4. Step 4: Simplify right side
    123,540,072x = 69,429,876,412,286,016
  5. Step 5: Solve for x
    x = 69,429,876,412,286,016/123,540,072
  6. Step 6: Final answer
    x = 562,002,881.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.