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Finding the Third Proportional to 17,201,814,299,788 and 36,857,232,503,235

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Solution

The third proportional to 17,201,814,299,788 and 36,857,232,503,235 is: 78,971,645,904,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201,814,299,788 : 36,857,232,503,235 = 36,857,232,503,235 : x
  2. Step 2: Convert to fraction form
    17,201,814,299,788/36,857,232,503,235 = 36,857,232,503,235/x
  3. Step 3: Cross multiply
    17,201,814,299,788x = 36,857,232,503,235 × 36,857,232,503,235
  4. Step 4: Simplify right side
    17,201,814,299,788x = 1,358,455,587,797,522,600,670,789,632
  5. Step 5: Solve for x
    x = 1,358,455,587,797,522,600,670,789,632/17,201,814,299,788
  6. Step 6: Final answer
    x = 78,971,645,904,482.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.