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Finding the Third Proportional to 11,208,720 and 18,302,827.13

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Solution

The third proportional to 11,208,720 and 18,302,827.13 is: 29,886,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,208,720 : 18,302,827.13 = 18,302,827.13 : x
  2. Step 2: Convert to fraction form
    11,208,720/18,302,827.13 = 18,302,827.13/x
  3. Step 3: Cross multiply
    11,208,720x = 18,302,827.13 × 18,302,827.13
  4. Step 4: Simplify right side
    11,208,720x = 334,993,480,767,635.75
  5. Step 5: Solve for x
    x = 334,993,480,767,635.75/11,208,720
  6. Step 6: Final answer
    x = 29,886,863.15

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.