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Finding the Third Proportional to 27,432,276 and 41,013,914

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Solution

The third proportional to 27,432,276 and 41,013,914 is: 61,319,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432,276 : 41,013,914 = 41,013,914 : x
  2. Step 2: Convert to fraction form
    27,432,276/41,013,914 = 41,013,914/x
  3. Step 3: Cross multiply
    27,432,276x = 41,013,914 × 41,013,914
  4. Step 4: Simplify right side
    27,432,276x = 1,682,141,141,599,396
  5. Step 5: Solve for x
    x = 1,682,141,141,599,396/27,432,276
  6. Step 6: Final answer
    x = 61,319,780.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.