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Finding the Third Proportional to 13,125,054 and 20,542,461

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Solution

The third proportional to 13,125,054 and 20,542,461 is: 32,151,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125,054 : 20,542,461 = 20,542,461 : x
  2. Step 2: Convert to fraction form
    13,125,054/20,542,461 = 20,542,461/x
  3. Step 3: Cross multiply
    13,125,054x = 20,542,461 × 20,542,461
  4. Step 4: Simplify right side
    13,125,054x = 421,992,703,936,521
  5. Step 5: Solve for x
    x = 421,992,703,936,521/13,125,054
  6. Step 6: Final answer
    x = 32,151,692.78

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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.