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Finding the Third Proportional to 8,755,566,985,984 and 18,828,816,696,324

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Solution

The third proportional to 8,755,566,985,984 and 18,828,816,696,324 is: 40,491,305,560,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,755,566,985,984 : 18,828,816,696,324 = 18,828,816,696,324 : x
  2. Step 2: Convert to fraction form
    8,755,566,985,984/18,828,816,696,324 = 18,828,816,696,324/x
  3. Step 3: Cross multiply
    8,755,566,985,984x = 18,828,816,696,324 × 18,828,816,696,324
  4. Step 4: Simplify right side
    8,755,566,985,984x = 354,524,338,183,769,421,422,526,464
  5. Step 5: Solve for x
    x = 354,524,338,183,769,421,422,526,464/8,755,566,985,984
  6. Step 6: Final answer
    x = 40,491,305,560,370.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.