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Finding the Third Proportional to 9,523,816 and 14,371,596

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Solution

The third proportional to 9,523,816 and 14,371,596 is: 21,686,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523,816 : 14,371,596 = 14,371,596 : x
  2. Step 2: Convert to fraction form
    9,523,816/14,371,596 = 14,371,596/x
  3. Step 3: Cross multiply
    9,523,816x = 14,371,596 × 14,371,596
  4. Step 4: Simplify right side
    9,523,816x = 206,542,771,587,216
  5. Step 5: Solve for x
    x = 206,542,771,587,216/9,523,816
  6. Step 6: Final answer
    x = 21,686,976.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.