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Finding the Third Proportional to 6,175,776 and 13,608,024

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Solution

The third proportional to 6,175,776 and 13,608,024 is: 29,984,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175,776 : 13,608,024 = 13,608,024 : x
  2. Step 2: Convert to fraction form
    6,175,776/13,608,024 = 13,608,024/x
  3. Step 3: Cross multiply
    6,175,776x = 13,608,024 × 13,608,024
  4. Step 4: Simplify right side
    6,175,776x = 185,178,317,184,576
  5. Step 5: Solve for x
    x = 185,178,317,184,576/6,175,776
  6. Step 6: Final answer
    x = 29,984,623.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.