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Finding the Third Proportional to 217,703,322 and 470,039,004

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Solution

The third proportional to 217,703,322 and 470,039,004 is: 1,014,852,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,703,322 : 470,039,004 = 470,039,004 : x
  2. Step 2: Convert to fraction form
    217,703,322/470,039,004 = 470,039,004/x
  3. Step 3: Cross multiply
    217,703,322x = 470,039,004 × 470,039,004
  4. Step 4: Simplify right side
    217,703,322x = 220,936,665,281,312,000
  5. Step 5: Solve for x
    x = 220,936,665,281,312,000/217,703,322
  6. Step 6: Final answer
    x = 1,014,852,062.21

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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.