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Finding the Third Proportional to 6,078,430,525 and 9,081,864,163.50

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Solution

The third proportional to 6,078,430,525 and 9,081,864,163.50 is: 13,569,334,443.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078,430,525 : 9,081,864,163.50 = 9,081,864,163.50 : x
  2. Step 2: Convert to fraction form
    6,078,430,525/9,081,864,163.50 = 9,081,864,163.50/x
  3. Step 3: Cross multiply
    6,078,430,525x = 9,081,864,163.50 × 9,081,864,163.50
  4. Step 4: Simplify right side
    6,078,430,525x = 82,480,256,684,265,553,920
  5. Step 5: Solve for x
    x = 82,480,256,684,265,553,920/6,078,430,525
  6. Step 6: Final answer
    x = 13,569,334,443.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.