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Finding the Third Proportional to 6,005,610 and 14,171,024.25

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Solution

The third proportional to 6,005,610 and 14,171,024.25 is: 33,438,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005,610 : 14,171,024.25 = 14,171,024.25 : x
  2. Step 2: Convert to fraction form
    6,005,610/14,171,024.25 = 14,171,024.25/x
  3. Step 3: Cross multiply
    6,005,610x = 14,171,024.25 × 14,171,024.25
  4. Step 4: Simplify right side
    6,005,610x = 200,817,928,294,088.06
  5. Step 5: Solve for x
    x = 200,817,928,294,088.06/6,005,610
  6. Step 6: Final answer
    x = 33,438,389.82

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.