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Finding the Third Proportional to 4,477,680 and 9,662,976

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Solution

The third proportional to 4,477,680 and 9,662,976 is: 20,853,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477,680 : 9,662,976 = 9,662,976 : x
  2. Step 2: Convert to fraction form
    4,477,680/9,662,976 = 9,662,976/x
  3. Step 3: Cross multiply
    4,477,680x = 9,662,976 × 9,662,976
  4. Step 4: Simplify right side
    4,477,680x = 93,373,105,176,576
  5. Step 5: Solve for x
    x = 93,373,105,176,576/4,477,680
  6. Step 6: Final answer
    x = 20,853,009.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.