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Finding the Third Proportional to 217,703,224 and 470,038,807

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Solution

The third proportional to 217,703,224 and 470,038,807 is: 1,014,851,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,703,224 : 470,038,807 = 470,038,807 : x
  2. Step 2: Convert to fraction form
    217,703,224/470,038,807 = 470,038,807/x
  3. Step 3: Cross multiply
    217,703,224x = 470,038,807 × 470,038,807
  4. Step 4: Simplify right side
    217,703,224x = 220,936,480,085,983,264
  5. Step 5: Solve for x
    x = 220,936,480,085,983,264/217,703,224
  6. Step 6: Final answer
    x = 1,014,851,668.37

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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.