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Finding the Third Proportional to 36,895,887,216,576 and 79,344,478,588,456

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Solution

The third proportional to 36,895,887,216,576 and 79,344,478,588,456 is: 170,630,028,369,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,895,887,216,576 : 79,344,478,588,456 = 79,344,478,588,456 : x
  2. Step 2: Convert to fraction form
    36,895,887,216,576/79,344,478,588,456 = 79,344,478,588,456/x
  3. Step 3: Cross multiply
    36,895,887,216,576x = 79,344,478,588,456 × 79,344,478,588,456
  4. Step 4: Simplify right side
    36,895,887,216,576x = 6,295,546,282,473,953,089,227,325,440
  5. Step 5: Solve for x
    x = 6,295,546,282,473,953,089,227,325,440/36,895,887,216,576
  6. Step 6: Final answer
    x = 170,630,028,369,275.53

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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.