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Finding the Third Proportional to 36,423,284,776 and 81,221,462,980

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Solution

The third proportional to 36,423,284,776 and 81,221,462,980 is: 181,118,372,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,423,284,776 : 81,221,462,980 = 81,221,462,980 : x
  2. Step 2: Convert to fraction form
    36,423,284,776/81,221,462,980 = 81,221,462,980/x
  3. Step 3: Cross multiply
    36,423,284,776x = 81,221,462,980 × 81,221,462,980
  4. Step 4: Simplify right side
    36,423,284,776x = 6,596,926,048,611,510,255,616
  5. Step 5: Solve for x
    x = 6,596,926,048,611,510,255,616/36,423,284,776
  6. Step 6: Final answer
    x = 181,118,372,194.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.