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Finding the Third Proportional to 564,392,981 and 1,215,277,978

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Solution

The third proportional to 564,392,981 and 1,215,277,978 is: 2,616,794,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,392,981 : 1,215,277,978 = 1,215,277,978 : x
  2. Step 2: Convert to fraction form
    564,392,981/1,215,277,978 = 1,215,277,978/x
  3. Step 3: Cross multiply
    564,392,981x = 1,215,277,978 × 1,215,277,978
  4. Step 4: Simplify right side
    564,392,981x = 1,476,900,563,811,768,576
  5. Step 5: Solve for x
    x = 1,476,900,563,811,768,576/564,392,981
  6. Step 6: Final answer
    x = 2,616,794,704.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.