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Finding the Third Proportional to 312,844,832 and 473,293,804

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Solution

The third proportional to 312,844,832 and 473,293,804 is: 716,032,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844,832 : 473,293,804 = 473,293,804 : x
  2. Step 2: Convert to fraction form
    312,844,832/473,293,804 = 473,293,804/x
  3. Step 3: Cross multiply
    312,844,832x = 473,293,804 × 473,293,804
  4. Step 4: Simplify right side
    312,844,832x = 224,007,024,904,790,400
  5. Step 5: Solve for x
    x = 224,007,024,904,790,400/312,844,832
  6. Step 6: Final answer
    x = 716,032,364.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.