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Finding the Third Proportional to 217,703,326 and 470,039,012

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Solution

The third proportional to 217,703,326 and 470,039,012 is: 1,014,852,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,703,326 : 470,039,012 = 470,039,012 : x
  2. Step 2: Convert to fraction form
    217,703,326/470,039,012 = 470,039,012/x
  3. Step 3: Cross multiply
    217,703,326x = 470,039,012 × 470,039,012
  4. Step 4: Simplify right side
    217,703,326x = 220,936,672,801,936,128
  5. Step 5: Solve for x
    x = 220,936,672,801,936,128/217,703,326
  6. Step 6: Final answer
    x = 1,014,852,078.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.