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Finding the Third Proportional to 5,297,781 and 8,201,335.50

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Solution

The third proportional to 5,297,781 and 8,201,335.50 is: 12,696,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297,781 : 8,201,335.50 = 8,201,335.50 : x
  2. Step 2: Convert to fraction form
    5,297,781/8,201,335.50 = 8,201,335.50/x
  3. Step 3: Cross multiply
    5,297,781x = 8,201,335.50 × 8,201,335.50
  4. Step 4: Simplify right side
    5,297,781x = 67,261,903,983,560.25
  5. Step 5: Solve for x
    x = 67,261,903,983,560.25/5,297,781
  6. Step 6: Final answer
    x = 12,696,240.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.