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Finding the Third Proportional to 6,336,613.13 and 13,802,433.75

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Solution

The third proportional to 6,336,613.13 and 13,802,433.75 is: 30,064,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336,613.13 : 13,802,433.75 = 13,802,433.75 : x
  2. Step 2: Convert to fraction form
    6,336,613.13/13,802,433.75 = 13,802,433.75/x
  3. Step 3: Cross multiply
    6,336,613.13x = 13,802,433.75 × 13,802,433.75
  4. Step 4: Simplify right side
    6,336,613.13x = 190,507,177,423,139.06
  5. Step 5: Solve for x
    x = 190,507,177,423,139.06/6,336,613.13
  6. Step 6: Final answer
    x = 30,064,511.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.