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Finding the Third Proportional to 217,703,325 and 470,039,010

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Solution

The third proportional to 217,703,325 and 470,039,010 is: 1,014,852,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,703,325 : 470,039,010 = 470,039,010 : x
  2. Step 2: Convert to fraction form
    217,703,325/470,039,010 = 470,039,010/x
  3. Step 3: Cross multiply
    217,703,325x = 470,039,010 × 470,039,010
  4. Step 4: Simplify right side
    217,703,325x = 220,936,670,921,780,096
  5. Step 5: Solve for x
    x = 220,936,670,921,780,096/217,703,325
  6. Step 6: Final answer
    x = 1,014,852,074.13

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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.