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Finding the Third Proportional to 218,485,744 and 468,135,476

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Solution

The third proportional to 218,485,744 and 468,135,476 is: 1,003,044,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,485,744 : 468,135,476 = 468,135,476 : x
  2. Step 2: Convert to fraction form
    218,485,744/468,135,476 = 468,135,476/x
  3. Step 3: Cross multiply
    218,485,744x = 468,135,476 × 468,135,476
  4. Step 4: Simplify right side
    218,485,744x = 219,150,823,889,746,560
  5. Step 5: Solve for x
    x = 219,150,823,889,746,560/218,485,744
  6. Step 6: Final answer
    x = 1,003,044,042.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.