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Finding the Third Proportional to 6,383,724 and 13,652,184

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Solution

The third proportional to 6,383,724 and 13,652,184 is: 29,196,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383,724 : 13,652,184 = 13,652,184 : x
  2. Step 2: Convert to fraction form
    6,383,724/13,652,184 = 13,652,184/x
  3. Step 3: Cross multiply
    6,383,724x = 13,652,184 × 13,652,184
  4. Step 4: Simplify right side
    6,383,724x = 186,382,127,969,856
  5. Step 5: Solve for x
    x = 186,382,127,969,856/6,383,724
  6. Step 6: Final answer
    x = 29,196,457.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.