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Finding the Third Proportional to 49,735,370 and 107,029,012

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Solution

The third proportional to 49,735,370 and 107,029,012 is: 230,323,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735,370 : 107,029,012 = 107,029,012 : x
  2. Step 2: Convert to fraction form
    49,735,370/107,029,012 = 107,029,012/x
  3. Step 3: Cross multiply
    49,735,370x = 107,029,012 × 107,029,012
  4. Step 4: Simplify right side
    49,735,370x = 11,455,209,409,696,144
  5. Step 5: Solve for x
    x = 11,455,209,409,696,144/49,735,370
  6. Step 6: Final answer
    x = 230,323,196.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.