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Finding the Third Proportional to 49,819,241 and 107,826,583

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Solution

The third proportional to 49,819,241 and 107,826,583 is: 233,375,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,819,241 : 107,826,583 = 107,826,583 : x
  2. Step 2: Convert to fraction form
    49,819,241/107,826,583 = 107,826,583/x
  3. Step 3: Cross multiply
    49,819,241x = 107,826,583 × 107,826,583
  4. Step 4: Simplify right side
    49,819,241x = 11,626,572,001,455,888
  5. Step 5: Solve for x
    x = 11,626,572,001,455,888/49,819,241
  6. Step 6: Final answer
    x = 233,375,133.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.