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Finding the Third Proportional to 9,420,864 and 14,941,764

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Solution

The third proportional to 9,420,864 and 14,941,764 is: 23,698,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420,864 : 14,941,764 = 14,941,764 : x
  2. Step 2: Convert to fraction form
    9,420,864/14,941,764 = 14,941,764/x
  3. Step 3: Cross multiply
    9,420,864x = 14,941,764 × 14,941,764
  4. Step 4: Simplify right side
    9,420,864x = 223,256,311,431,696
  5. Step 5: Solve for x
    x = 223,256,311,431,696/9,420,864
  6. Step 6: Final answer
    x = 23,698,071.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.