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Finding the Third Proportional to 27,523,826 and 41,283,070

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Solution

The third proportional to 27,523,826 and 41,283,070 is: 61,920,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523,826 : 41,283,070 = 41,283,070 : x
  2. Step 2: Convert to fraction form
    27,523,826/41,283,070 = 41,283,070/x
  3. Step 3: Cross multiply
    27,523,826x = 41,283,070 × 41,283,070
  4. Step 4: Simplify right side
    27,523,826x = 1,704,291,868,624,900
  5. Step 5: Solve for x
    x = 1,704,291,868,624,900/27,523,826
  6. Step 6: Final answer
    x = 61,920,601.76

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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.