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Finding the Third Proportional to 49,473,744 and 107,730,480

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Solution

The third proportional to 49,473,744 and 107,730,480 is: 234,586,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,473,744 : 107,730,480 = 107,730,480 : x
  2. Step 2: Convert to fraction form
    49,473,744/107,730,480 = 107,730,480/x
  3. Step 3: Cross multiply
    49,473,744x = 107,730,480 × 107,730,480
  4. Step 4: Simplify right side
    49,473,744x = 11,605,856,321,030,400
  5. Step 5: Solve for x
    x = 11,605,856,321,030,400/49,473,744
  6. Step 6: Final answer
    x = 234,586,174.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.