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Finding the Third Proportional to 5,113,050 and 11,141,364

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Solution

The third proportional to 5,113,050 and 11,141,364 is: 24,277,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113,050 : 11,141,364 = 11,141,364 : x
  2. Step 2: Convert to fraction form
    5,113,050/11,141,364 = 11,141,364/x
  3. Step 3: Cross multiply
    5,113,050x = 11,141,364 × 11,141,364
  4. Step 4: Simplify right side
    5,113,050x = 124,129,991,780,496
  5. Step 5: Solve for x
    x = 124,129,991,780,496/5,113,050
  6. Step 6: Final answer
    x = 24,277,093.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.