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Finding the Third Proportional to 4,531,972 and 9,863,176

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Solution

The third proportional to 4,531,972 and 9,863,176 is: 21,465,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531,972 : 9,863,176 = 9,863,176 : x
  2. Step 2: Convert to fraction form
    4,531,972/9,863,176 = 9,863,176/x
  3. Step 3: Cross multiply
    4,531,972x = 9,863,176 × 9,863,176
  4. Step 4: Simplify right side
    4,531,972x = 97,282,240,806,976
  5. Step 5: Solve for x
    x = 97,282,240,806,976/4,531,972
  6. Step 6: Final answer
    x = 21,465,763.87

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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.