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Finding the Third Proportional to 106,638,633 and 220,838,994

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Solution

The third proportional to 106,638,633 and 220,838,994 is: 457,337,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,638,633 : 220,838,994 = 220,838,994 : x
  2. Step 2: Convert to fraction form
    106,638,633/220,838,994 = 220,838,994/x
  3. Step 3: Cross multiply
    106,638,633x = 220,838,994 × 220,838,994
  4. Step 4: Simplify right side
    106,638,633x = 48,769,861,270,932,032
  5. Step 5: Solve for x
    x = 48,769,861,270,932,032/106,638,633
  6. Step 6: Final answer
    x = 457,337,644.89

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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.