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Finding the Third Proportional to 40,803,824 and 86,213,098

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Solution

The third proportional to 40,803,824 and 86,213,098 is: 182,156,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,803,824 : 86,213,098 = 86,213,098 : x
  2. Step 2: Convert to fraction form
    40,803,824/86,213,098 = 86,213,098/x
  3. Step 3: Cross multiply
    40,803,824x = 86,213,098 × 86,213,098
  4. Step 4: Simplify right side
    40,803,824x = 7,432,698,266,757,604
  5. Step 5: Solve for x
    x = 7,432,698,266,757,604/40,803,824
  6. Step 6: Final answer
    x = 182,156,904.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.