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Finding the Third Proportional to 49,741,290 and 117,252,435

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Solution

The third proportional to 49,741,290 and 117,252,435 is: 276,392,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,741,290 : 117,252,435 = 117,252,435 : x
  2. Step 2: Convert to fraction form
    49,741,290/117,252,435 = 117,252,435/x
  3. Step 3: Cross multiply
    49,741,290x = 117,252,435 × 117,252,435
  4. Step 4: Simplify right side
    49,741,290x = 13,748,133,513,429,224
  5. Step 5: Solve for x
    x = 13,748,133,513,429,224/49,741,290
  6. Step 6: Final answer
    x = 276,392,781.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.