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Finding the Third Proportional to 2,624,204,141 and 5,783,304,650

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Solution

The third proportional to 2,624,204,141 and 5,783,304,650 is: 12,745,430,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624,204,141 : 5,783,304,650 = 5,783,304,650 : x
  2. Step 2: Convert to fraction form
    2,624,204,141/5,783,304,650 = 5,783,304,650/x
  3. Step 3: Cross multiply
    2,624,204,141x = 5,783,304,650 × 5,783,304,650
  4. Step 4: Simplify right side
    2,624,204,141x = 33,446,612,674,711,621,632
  5. Step 5: Solve for x
    x = 33,446,612,674,711,621,632/2,624,204,141
  6. Step 6: Final answer
    x = 12,745,430,948.82

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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.