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Finding the Third Proportional to 84,936,822 and 185,769,732

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Solution

The third proportional to 84,936,822 and 185,769,732 is: 406,306,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,936,822 : 185,769,732 = 185,769,732 : x
  2. Step 2: Convert to fraction form
    84,936,822/185,769,732 = 185,769,732/x
  3. Step 3: Cross multiply
    84,936,822x = 185,769,732 × 185,769,732
  4. Step 4: Simplify right side
    84,936,822x = 34,510,393,327,351,824
  5. Step 5: Solve for x
    x = 34,510,393,327,351,824/84,936,822
  6. Step 6: Final answer
    x = 406,306,623.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.