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Finding the Third Proportional to 11,370,781.13 and 18,565,497

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Solution

The third proportional to 11,370,781.13 and 18,565,497 is: 30,312,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370,781.13 : 18,565,497 = 18,565,497 : x
  2. Step 2: Convert to fraction form
    11,370,781.13/18,565,497 = 18,565,497/x
  3. Step 3: Cross multiply
    11,370,781.13x = 18,565,497 × 18,565,497
  4. Step 4: Simplify right side
    11,370,781.13x = 344,677,678,857,009
  5. Step 5: Solve for x
    x = 344,677,678,857,009/11,370,781.13
  6. Step 6: Final answer
    x = 30,312,577.04

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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.