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Finding the Third Proportional to 5,238,577,398 and 7,855,941,960

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Solution

The third proportional to 5,238,577,398 and 7,855,941,960 is: 11,781,027,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238,577,398 : 7,855,941,960 = 7,855,941,960 : x
  2. Step 2: Convert to fraction form
    5,238,577,398/7,855,941,960 = 7,855,941,960/x
  3. Step 3: Cross multiply
    5,238,577,398x = 7,855,941,960 × 7,855,941,960
  4. Step 4: Simplify right side
    5,238,577,398x = 61,715,824,078,888,640,512
  5. Step 5: Solve for x
    x = 61,715,824,078,888,640,512/5,238,577,398
  6. Step 6: Final answer
    x = 11,781,027,441.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.