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Finding the Third Proportional to 2,736,004,704 and 5,740,747,968

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Solution

The third proportional to 2,736,004,704 and 5,740,747,968 is: 12,045,369,360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736,004,704 : 5,740,747,968 = 5,740,747,968 : x
  2. Step 2: Convert to fraction form
    2,736,004,704/5,740,747,968 = 5,740,747,968/x
  3. Step 3: Cross multiply
    2,736,004,704x = 5,740,747,968 × 5,740,747,968
  4. Step 4: Simplify right side
    2,736,004,704x = 32,956,187,232,096,129,024
  5. Step 5: Solve for x
    x = 32,956,187,232,096,129,024/2,736,004,704
  6. Step 6: Final answer
    x = 12,045,369,360.63

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.