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Finding the Third Proportional to 284,471,944 and 620,631,140

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Solution

The third proportional to 284,471,944 and 620,631,140 is: 1,354,028,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,471,944 : 620,631,140 = 620,631,140 : x
  2. Step 2: Convert to fraction form
    284,471,944/620,631,140 = 620,631,140/x
  3. Step 3: Cross multiply
    284,471,944x = 620,631,140 × 620,631,140
  4. Step 4: Simplify right side
    284,471,944x = 385,183,011,937,699,584
  5. Step 5: Solve for x
    x = 385,183,011,937,699,584/284,471,944
  6. Step 6: Final answer
    x = 1,354,028,121.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.