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Finding the Third Proportional to 6,464,724 and 14,064,462

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Solution

The third proportional to 6,464,724 and 14,064,462 is: 30,598,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,724 : 14,064,462 = 14,064,462 : x
  2. Step 2: Convert to fraction form
    6,464,724/14,064,462 = 14,064,462/x
  3. Step 3: Cross multiply
    6,464,724x = 14,064,462 × 14,064,462
  4. Step 4: Simplify right side
    6,464,724x = 197,809,091,349,444
  5. Step 5: Solve for x
    x = 197,809,091,349,444/6,464,724
  6. Step 6: Final answer
    x = 30,598,226.83

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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.