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Finding the Third Proportional to 227,752,942 and 471,655,772

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Solution

The third proportional to 227,752,942 and 471,655,772 is: 976,756,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,752,942 : 471,655,772 = 471,655,772 : x
  2. Step 2: Convert to fraction form
    227,752,942/471,655,772 = 471,655,772/x
  3. Step 3: Cross multiply
    227,752,942x = 471,655,772 × 471,655,772
  4. Step 4: Simplify right side
    227,752,942x = 222,459,167,260,915,968
  5. Step 5: Solve for x
    x = 222,459,167,260,915,968/227,752,942
  6. Step 6: Final answer
    x = 976,756,503.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.