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Finding the Third Proportional to 13,857,924 and 30,234,120

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Solution

The third proportional to 13,857,924 and 30,234,120 is: 65,962,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857,924 : 30,234,120 = 30,234,120 : x
  2. Step 2: Convert to fraction form
    13,857,924/30,234,120 = 30,234,120/x
  3. Step 3: Cross multiply
    13,857,924x = 30,234,120 × 30,234,120
  4. Step 4: Simplify right side
    13,857,924x = 914,102,012,174,400
  5. Step 5: Solve for x
    x = 914,102,012,174,400/13,857,924
  6. Step 6: Final answer
    x = 65,962,406.21

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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.