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Finding the Third Proportional to 17,594,337,354,632 and 37,877,637,153,760

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Solution

The third proportional to 17,594,337,354,632 and 37,877,637,153,760 is: 81,544,156,363,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,594,337,354,632 : 37,877,637,153,760 = 37,877,637,153,760 : x
  2. Step 2: Convert to fraction form
    17,594,337,354,632/37,877,637,153,760 = 37,877,637,153,760/x
  3. Step 3: Cross multiply
    17,594,337,354,632x = 37,877,637,153,760 × 37,877,637,153,760
  4. Step 4: Simplify right side
    17,594,337,354,632x = 1,434,715,396,351,899,918,093,254,656
  5. Step 5: Solve for x
    x = 1,434,715,396,351,899,918,093,254,656/17,594,337,354,632
  6. Step 6: Final answer
    x = 81,544,156,363,137.33

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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.