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Finding the Third Proportional to 13,462,847 and 29,362,462

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Solution

The third proportional to 13,462,847 and 29,362,462 is: 64,039,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462,847 : 29,362,462 = 29,362,462 : x
  2. Step 2: Convert to fraction form
    13,462,847/29,362,462 = 29,362,462/x
  3. Step 3: Cross multiply
    13,462,847x = 29,362,462 × 29,362,462
  4. Step 4: Simplify right side
    13,462,847x = 862,154,174,701,444
  5. Step 5: Solve for x
    x = 862,154,174,701,444/13,462,847
  6. Step 6: Final answer
    x = 64,039,513.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.