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Finding the Third Proportional to 5,697,428.63 and 13,178,224.13

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Solution

The third proportional to 5,697,428.63 and 13,178,224.13 is: 30,481,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697,428.63 : 13,178,224.13 = 13,178,224.13 : x
  2. Step 2: Convert to fraction form
    5,697,428.63/13,178,224.13 = 13,178,224.13/x
  3. Step 3: Cross multiply
    5,697,428.63x = 13,178,224.13 × 13,178,224.13
  4. Step 4: Simplify right side
    5,697,428.63x = 173,665,591,088,732
  5. Step 5: Solve for x
    x = 173,665,591,088,732/5,697,428.63
  6. Step 6: Final answer
    x = 30,481,398.28

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.