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Finding the Third Proportional to 185,036,885 and 411,434,070

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Solution

The third proportional to 185,036,885 and 411,434,070 is: 914,833,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,036,885 : 411,434,070 = 411,434,070 : x
  2. Step 2: Convert to fraction form
    185,036,885/411,434,070 = 411,434,070/x
  3. Step 3: Cross multiply
    185,036,885x = 411,434,070 × 411,434,070
  4. Step 4: Simplify right side
    185,036,885x = 169,277,993,956,764,896
  5. Step 5: Solve for x
    x = 169,277,993,956,764,896/185,036,885
  6. Step 6: Final answer
    x = 914,833,785.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.