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Finding the Third Proportional to 5,724,972 and 12,132,504

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Solution

The third proportional to 5,724,972 and 12,132,504 is: 25,711,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724,972 : 12,132,504 = 12,132,504 : x
  2. Step 2: Convert to fraction form
    5,724,972/12,132,504 = 12,132,504/x
  3. Step 3: Cross multiply
    5,724,972x = 12,132,504 × 12,132,504
  4. Step 4: Simplify right side
    5,724,972x = 147,197,653,310,016
  5. Step 5: Solve for x
    x = 147,197,653,310,016/5,724,972
  6. Step 6: Final answer
    x = 25,711,506.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.