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Finding the Third Proportional to 215,724,638 and 471,807,976

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Solution

The third proportional to 215,724,638 and 471,807,976 is: 1,031,883,832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,724,638 : 471,807,976 = 471,807,976 : x
  2. Step 2: Convert to fraction form
    215,724,638/471,807,976 = 471,807,976/x
  3. Step 3: Cross multiply
    215,724,638x = 471,807,976 × 471,807,976
  4. Step 4: Simplify right side
    215,724,638x = 222,602,766,217,216,576
  5. Step 5: Solve for x
    x = 222,602,766,217,216,576/215,724,638
  6. Step 6: Final answer
    x = 1,031,883,832.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.