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Finding the Third Proportional to 227,909,747 and 463,873,972

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Solution

The third proportional to 227,909,747 and 463,873,972 is: 944,141,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,909,747 : 463,873,972 = 463,873,972 : x
  2. Step 2: Convert to fraction form
    227,909,747/463,873,972 = 463,873,972/x
  3. Step 3: Cross multiply
    227,909,747x = 463,873,972 × 463,873,972
  4. Step 4: Simplify right side
    227,909,747x = 215,179,061,899,056,768
  5. Step 5: Solve for x
    x = 215,179,061,899,056,768/227,909,747
  6. Step 6: Final answer
    x = 944,141,550.47

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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.