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Finding the Third Proportional to 217,680,048 and 473,622,192

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Solution

The third proportional to 217,680,048 and 473,622,192 is: 1,030,493,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,680,048 : 473,622,192 = 473,622,192 : x
  2. Step 2: Convert to fraction form
    217,680,048/473,622,192 = 473,622,192/x
  3. Step 3: Cross multiply
    217,680,048x = 473,622,192 × 473,622,192
  4. Step 4: Simplify right side
    217,680,048x = 224,317,980,754,884,864
  5. Step 5: Solve for x
    x = 224,317,980,754,884,864/217,680,048
  6. Step 6: Final answer
    x = 1,030,493,987.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.