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Finding the Third Proportional to 52,109,293 and 111,374,815

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Solution

The third proportional to 52,109,293 and 111,374,815 is: 238,044,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,109,293 : 111,374,815 = 111,374,815 : x
  2. Step 2: Convert to fraction form
    52,109,293/111,374,815 = 111,374,815/x
  3. Step 3: Cross multiply
    52,109,293x = 111,374,815 × 111,374,815
  4. Step 4: Simplify right side
    52,109,293x = 12,404,349,416,284,224
  5. Step 5: Solve for x
    x = 12,404,349,416,284,224/52,109,293
  6. Step 6: Final answer
    x = 238,044,861.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.