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Finding the Third Proportional to 227,909,742 and 463,873,960

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Solution

The third proportional to 227,909,742 and 463,873,960 is: 944,141,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,909,742 : 463,873,960 = 463,873,960 : x
  2. Step 2: Convert to fraction form
    227,909,742/463,873,960 = 463,873,960/x
  3. Step 3: Cross multiply
    227,909,742x = 463,873,960 × 463,873,960
  4. Step 4: Simplify right side
    227,909,742x = 215,179,050,766,081,600
  5. Step 5: Solve for x
    x = 215,179,050,766,081,600/227,909,742
  6. Step 6: Final answer
    x = 944,141,522.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.