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Finding the Third Proportional to 5,068,464 and 11,029,206

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Solution

The third proportional to 5,068,464 and 11,029,206 is: 24,000,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068,464 : 11,029,206 = 11,029,206 : x
  2. Step 2: Convert to fraction form
    5,068,464/11,029,206 = 11,029,206/x
  3. Step 3: Cross multiply
    5,068,464x = 11,029,206 × 11,029,206
  4. Step 4: Simplify right side
    5,068,464x = 121,643,384,990,436
  5. Step 5: Solve for x
    x = 121,643,384,990,436/5,068,464
  6. Step 6: Final answer
    x = 24,000,049.13

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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.