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Finding the Third Proportional to 8,741,056.50 and 13,712,078.25

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Solution

The third proportional to 8,741,056.50 and 13,712,078.25 is: 21,510,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741,056.50 : 13,712,078.25 = 13,712,078.25 : x
  2. Step 2: Convert to fraction form
    8,741,056.50/13,712,078.25 = 13,712,078.25/x
  3. Step 3: Cross multiply
    8,741,056.50x = 13,712,078.25 × 13,712,078.25
  4. Step 4: Simplify right side
    8,741,056.50x = 188,021,089,934,123.06
  5. Step 5: Solve for x
    x = 188,021,089,934,123.06/8,741,056.50
  6. Step 6: Final answer
    x = 21,510,110.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.