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Finding the Third Proportional to 7,881,384 and 16,978,575

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Solution

The third proportional to 7,881,384 and 16,978,575 is: 36,576,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881,384 : 16,978,575 = 16,978,575 : x
  2. Step 2: Convert to fraction form
    7,881,384/16,978,575 = 16,978,575/x
  3. Step 3: Cross multiply
    7,881,384x = 16,978,575 × 16,978,575
  4. Step 4: Simplify right side
    7,881,384x = 288,272,009,030,625
  5. Step 5: Solve for x
    x = 288,272,009,030,625/7,881,384
  6. Step 6: Final answer
    x = 36,576,318.20

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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.