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Finding the Third Proportional to 186,384,912 and 291,745,836

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Solution

The third proportional to 186,384,912 and 291,745,836 is: 456,665,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,384,912 : 291,745,836 = 291,745,836 : x
  2. Step 2: Convert to fraction form
    186,384,912/291,745,836 = 291,745,836/x
  3. Step 3: Cross multiply
    186,384,912x = 291,745,836 × 291,745,836
  4. Step 4: Simplify right side
    186,384,912x = 85,115,632,823,338,896
  5. Step 5: Solve for x
    x = 85,115,632,823,338,896/186,384,912
  6. Step 6: Final answer
    x = 456,665,895.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.