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Finding the Third Proportional to 282,305,984 and 611,511,664

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Solution

The third proportional to 282,305,984 and 611,511,664 is: 1,324,614,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,305,984 : 611,511,664 = 611,511,664 : x
  2. Step 2: Convert to fraction form
    282,305,984/611,511,664 = 611,511,664/x
  3. Step 3: Cross multiply
    282,305,984x = 611,511,664 × 611,511,664
  4. Step 4: Simplify right side
    282,305,984x = 373,946,515,208,048,896
  5. Step 5: Solve for x
    x = 373,946,515,208,048,896/282,305,984
  6. Step 6: Final answer
    x = 1,324,614,200.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.