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Finding the Third Proportional to 36,895,887,216,588 and 79,344,478,588,480

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Solution

The third proportional to 36,895,887,216,588 and 79,344,478,588,480 is: 170,630,028,369,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,895,887,216,588 : 79,344,478,588,480 = 79,344,478,588,480 : x
  2. Step 2: Convert to fraction form
    36,895,887,216,588/79,344,478,588,480 = 79,344,478,588,480/x
  3. Step 3: Cross multiply
    36,895,887,216,588x = 79,344,478,588,480 × 79,344,478,588,480
  4. Step 4: Simplify right side
    36,895,887,216,588x = 6,295,546,282,477,760,697,994,313,728
  5. Step 5: Solve for x
    x = 6,295,546,282,477,760,697,994,313,728/36,895,887,216,588
  6. Step 6: Final answer
    x = 170,630,028,369,323.22

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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.