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Finding the Third Proportional to 6,346,464 and 13,702,872

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Solution

The third proportional to 6,346,464 and 13,702,872 is: 29,586,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346,464 : 13,702,872 = 13,702,872 : x
  2. Step 2: Convert to fraction form
    6,346,464/13,702,872 = 13,702,872/x
  3. Step 3: Cross multiply
    6,346,464x = 13,702,872 × 13,702,872
  4. Step 4: Simplify right side
    6,346,464x = 187,768,701,048,384
  5. Step 5: Solve for x
    x = 187,768,701,048,384/6,346,464
  6. Step 6: Final answer
    x = 29,586,349.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.