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Finding the Third Proportional to 4,466,143.50 and 9,688,302

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Solution

The third proportional to 4,466,143.50 and 9,688,302 is: 21,016,609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466,143.50 : 9,688,302 = 9,688,302 : x
  2. Step 2: Convert to fraction form
    4,466,143.50/9,688,302 = 9,688,302/x
  3. Step 3: Cross multiply
    4,466,143.50x = 9,688,302 × 9,688,302
  4. Step 4: Simplify right side
    4,466,143.50x = 93,863,195,643,204
  5. Step 5: Solve for x
    x = 93,863,195,643,204/4,466,143.50
  6. Step 6: Final answer
    x = 21,016,609.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.