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Finding the Third Proportional to 219,314,116 and 481,669,680

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Solution

The third proportional to 219,314,116 and 481,669,680 is: 1,057,869,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,314,116 : 481,669,680 = 481,669,680 : x
  2. Step 2: Convert to fraction form
    219,314,116/481,669,680 = 481,669,680/x
  3. Step 3: Cross multiply
    219,314,116x = 481,669,680 × 481,669,680
  4. Step 4: Simplify right side
    219,314,116x = 232,005,680,631,302,400
  5. Step 5: Solve for x
    x = 232,005,680,631,302,400/219,314,116
  6. Step 6: Final answer
    x = 1,057,869,346.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.