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Finding the Third Proportional to 4,651,573 and 9,866,617

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Solution

The third proportional to 4,651,573 and 9,866,617 is: 20,928,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,573 : 9,866,617 = 9,866,617 : x
  2. Step 2: Convert to fraction form
    4,651,573/9,866,617 = 9,866,617/x
  3. Step 3: Cross multiply
    4,651,573x = 9,866,617 × 9,866,617
  4. Step 4: Simplify right side
    4,651,573x = 97,350,131,024,689
  5. Step 5: Solve for x
    x = 97,350,131,024,689/4,651,573
  6. Step 6: Final answer
    x = 20,928,432.39

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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.