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Finding the Third Proportional to 284,221,099 and 618,490,010

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Solution

The third proportional to 284,221,099 and 618,490,010 is: 1,345,888,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,221,099 : 618,490,010 = 618,490,010 : x
  2. Step 2: Convert to fraction form
    284,221,099/618,490,010 = 618,490,010/x
  3. Step 3: Cross multiply
    284,221,099x = 618,490,010 × 618,490,010
  4. Step 4: Simplify right side
    284,221,099x = 382,529,892,469,800,128
  5. Step 5: Solve for x
    x = 382,529,892,469,800,128/284,221,099
  6. Step 6: Final answer
    x = 1,345,888,443.24

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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.