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Finding the Third Proportional to 438,628,146 and 963,339,204

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Solution

The third proportional to 438,628,146 and 963,339,204 is: 2,115,738,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,628,146 : 963,339,204 = 963,339,204 : x
  2. Step 2: Convert to fraction form
    438,628,146/963,339,204 = 963,339,204/x
  3. Step 3: Cross multiply
    438,628,146x = 963,339,204 × 963,339,204
  4. Step 4: Simplify right side
    438,628,146x = 928,022,421,963,353,600
  5. Step 5: Solve for x
    x = 928,022,421,963,353,600/438,628,146
  6. Step 6: Final answer
    x = 2,115,738,423.14

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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.