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Finding the Third Proportional to 7,881,416 and 16,978,640

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Solution

The third proportional to 7,881,416 and 16,978,640 is: 36,576,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881,416 : 16,978,640 = 16,978,640 : x
  2. Step 2: Convert to fraction form
    7,881,416/16,978,640 = 16,978,640/x
  3. Step 3: Cross multiply
    7,881,416x = 16,978,640 × 16,978,640
  4. Step 4: Simplify right side
    7,881,416x = 288,274,216,249,600
  5. Step 5: Solve for x
    x = 288,274,216,249,600/7,881,416
  6. Step 6: Final answer
    x = 36,576,449.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.