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Finding the Third Proportional to 7,863,016 and 12,502,716

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Solution

The third proportional to 7,863,016 and 12,502,716 is: 19,880,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863,016 : 12,502,716 = 12,502,716 : x
  2. Step 2: Convert to fraction form
    7,863,016/12,502,716 = 12,502,716/x
  3. Step 3: Cross multiply
    7,863,016x = 12,502,716 × 12,502,716
  4. Step 4: Simplify right side
    7,863,016x = 156,317,907,376,656
  5. Step 5: Solve for x
    x = 156,317,907,376,656/7,863,016
  6. Step 6: Final answer
    x = 19,880,146.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.