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Finding the Third Proportional to 6,480,656 and 14,181,856

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Solution

The third proportional to 6,480,656 and 14,181,856 is: 31,034,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480,656 : 14,181,856 = 14,181,856 : x
  2. Step 2: Convert to fraction form
    6,480,656/14,181,856 = 14,181,856/x
  3. Step 3: Cross multiply
    6,480,656x = 14,181,856 × 14,181,856
  4. Step 4: Simplify right side
    6,480,656x = 201,125,039,604,736
  5. Step 5: Solve for x
    x = 201,125,039,604,736/6,480,656
  6. Step 6: Final answer
    x = 31,034,672.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.