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Finding the Third Proportional to 3,755,944,409,700 and 8,135,567,799,732

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Solution

The third proportional to 3,755,944,409,700 and 8,135,567,799,732 is: 17,622,056,187,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755,944,409,700 : 8,135,567,799,732 = 8,135,567,799,732 : x
  2. Step 2: Convert to fraction form
    3,755,944,409,700/8,135,567,799,732 = 8,135,567,799,732/x
  3. Step 3: Cross multiply
    3,755,944,409,700x = 8,135,567,799,732 × 8,135,567,799,732
  4. Step 4: Simplify right side
    3,755,944,409,700x = 66,187,463,424,036,173,162,479,616
  5. Step 5: Solve for x
    x = 66,187,463,424,036,173,162,479,616/3,755,944,409,700
  6. Step 6: Final answer
    x = 17,622,056,187,280.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.