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Finding the Third Proportional to 4,651,986 and 9,867,570

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Solution

The third proportional to 4,651,986 and 9,867,570 is: 20,930,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,986 : 9,867,570 = 9,867,570 : x
  2. Step 2: Convert to fraction form
    4,651,986/9,867,570 = 9,867,570/x
  3. Step 3: Cross multiply
    4,651,986x = 9,867,570 × 9,867,570
  4. Step 4: Simplify right side
    4,651,986x = 97,368,937,704,900
  5. Step 5: Solve for x
    x = 97,368,937,704,900/4,651,986
  6. Step 6: Final answer
    x = 20,930,617.10

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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.