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Finding the Third Proportional to 186,844,389 and 436,552,815

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Solution

The third proportional to 186,844,389 and 436,552,815 is: 1,019,984,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,844,389 : 436,552,815 = 436,552,815 : x
  2. Step 2: Convert to fraction form
    186,844,389/436,552,815 = 436,552,815/x
  3. Step 3: Cross multiply
    186,844,389x = 436,552,815 × 436,552,815
  4. Step 4: Simplify right side
    186,844,389x = 190,578,360,284,424,224
  5. Step 5: Solve for x
    x = 190,578,360,284,424,224/186,844,389
  6. Step 6: Final answer
    x = 1,019,984,390.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.