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Finding the Third Proportional to 5,697,412 and 13,178,188

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Solution

The third proportional to 5,697,412 and 13,178,188 is: 30,481,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697,412 : 13,178,188 = 13,178,188 : x
  2. Step 2: Convert to fraction form
    5,697,412/13,178,188 = 13,178,188/x
  3. Step 3: Cross multiply
    5,697,412x = 13,178,188 × 13,178,188
  4. Step 4: Simplify right side
    5,697,412x = 173,664,638,963,344
  5. Step 5: Solve for x
    x = 173,664,638,963,344/5,697,412
  6. Step 6: Final answer
    x = 30,481,320.11

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Why These Related Problems?

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