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Finding the Third Proportional to 217,685,456 and 473,632,072

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Solution

The third proportional to 217,685,456 and 473,632,072 is: 1,030,511,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,685,456 : 473,632,072 = 473,632,072 : x
  2. Step 2: Convert to fraction form
    217,685,456/473,632,072 = 473,632,072/x
  3. Step 3: Cross multiply
    217,685,456x = 473,632,072 × 473,632,072
  4. Step 4: Simplify right side
    217,685,456x = 224,327,339,627,013,184
  5. Step 5: Solve for x
    x = 224,327,339,627,013,184/217,685,456
  6. Step 6: Final answer
    x = 1,030,511,379.81

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